Course Revised DSingh

Course Revised (March 2013)Course structure for Five years Integrated M.Sc. programme in Applied PhysicsL-Lecture, T-Tutorial, P-Practical (Lab), Cr-Credits.

FIRST SEMESTER

S. No.Course CodeCourse TitleL T PCR

1PHY/MAT/110010Mathema37tics-I3104

2PHY/PHY/110021a) General Properties of Matter (for core Physics)b) Introductory Physics-I (Chemistry, Maths,Energy Engineering, Water Engineering and Management, Nano technology)c) Basic Physics-I (for EVS and Life sciences)3104

3PHY/CHM/110030Principles of Chemistry-I3104

4Wave Oscillations (for core Physics)3104

5PHY/COM/110050Fundamentals of Computer & C programming3104

6PHY/EVS/110060Environmental Studies3003

7PHY/PHY/112070PHYSICS LAB-I 0042

8PHY/PHY/112080Introductory Physics Lab-I0042

9PHY/CHM/112090Principles of Chemistry Lab-I0042

Total Credits29

SECOND SEMESTER


1PHY/MAT/120010Mathematics-II3104

2PHY/PHY/120020a) Vector Calculus (for core Physics)b) Introductory Physics-II (Chemistry, Maths,Energy Engineering, Water Engineering and Management,Nano Technology)d) Basic Physics-II (for EVS and Life sciences)3104

3PHY/CHM/120030Principles of Chemistry-II3104

4PHY/ENG/120040Communicative English3024

5PHY/PHY/121050Heat4004

6PHY/PHY/121060Modern Physics4004

7PHY/EDG/121070Engineering Drawing and Graphics1032

8PHY/PHY/122110Introductory Physics Lab-II0042

9PHY/CHM/122120Principles of Chemistry Lab-II0042

Total Credits30

THIRD SEMESTER


1PHY/MAT/210010Mathematics-III3104

2PHY/THP/211020Thermal Physics4004

3PHY/OPT/211030Optics4004

4PHY/QPH/211040Classical Mechanics-I5005

5PHY/NSE/211050Mathematical Physics-I5005

6PHY/APL/212060Applied Physics Lab-III00105

Total Credits27

FOURTH SEMESTER


1PHY/MPH/211010Mathematical Physics-II4004

2PHY/CME/221020Quantum Physics4004

3PHY/ELE/221030Electronics-I4004

4PHY/SSP/221040Solid State Physics- I4004

5Electricity and Magnetism-I4004

6PHY/APL/222050Applied Physics Lab-IV00105

Total Credits25

FIFTH SEMESTER


1Elective-I3104

2Elective-II3104

3Elective-III3104

4Elective-IV3104

5Elective-V3104

6Elective-VI3104

Total Credits24

SIX SEMESTER


1Statistical Mechanics-I 4004

2Nuclear Physics4004

3Electricity and Magnetism-II4004

4Atomic and molecular Physics-I4004

5Quantum Mechanics-I4004

6Applied Physics Lab-VI00105

Total Credits25

SEVEN SEMESTER


1Quantum Mechanics-II4004

2Classical Mechanics-II4004

3Classical Electrodynamics4004

4Plasma Physics and Laser4004

5Solid State Physics-II4004

6Applied Physics Lab-VII00105

Total Credits25

EIGHTH SEMESTER


1Statistical Physics-II4004

2Electronics-II4004

3Experimental Techniques and Analytical studies4004

4Atomic and Molecular Physics-II4004

Advanced Mathematical Physics4004

5Applied Physics Lab-VIII00105

Total Credits25

NINETH SEMESTER


1Advanced Quantum Mechanics4004

2Nuclear and particle physics5005

3Special paper-I4004

4Special paper-II4004

Special paper-III4004

5Applied Physics Lab-IX00105

Total Credits26

TENTH SEMESTER

S. No.Course CodeCourse TitleCR

1Project work24

Total Credits24

Special paper

1.Experimental Nuclear Physics

2.Advanced Condensed Matter Theory

3.Advanced Statistical Mechanics

4.Quantum Field Theory

5.High Energy Heavy Ion Collision Physics

6.Nanoscience

List of Electives

S.No.Name of the Elective Courses

1.Intermediate Energy Nuclear Physics

2.Applied Radiation Physics

3.Nuclear Detector Array and Related Electronic Modules

4.Classical Field Theory

5.Conceptual Development of Quantum Mechanics

6. Mathematical Biology

7. Nano science and Nanotechnology

8.Fiber and Integrated Optics

9.Experimental Physics

10.Communication Electronics

11.Thin film technology

12.Optoelectronics and fiber optics communication

13.Nano-Photonics

FIRST SEMESTER

MATHEMATICS-I (PHY/MAT/110010) (3-1-0)

Review of limits, continuity, and differentiability. Mean value theorem, Taylors Theorem, Maxima and Minima. Riemann integrals, Fundamental theorem of Calculus, Improper integrals, applications to area, volume. Convergence of sequences and series, power series.

Partial Derivatives, gradient and directional derivatives, chain rule, maxima and minima,Lagrange multipliers.Double and Triple integration, Jacobians and change of variables formula. Parametrization of curves and surfaces, vector Fields, line and surface integrals. Divergence and curl, Theorems of Green, Gauss and Stokes.

Recommended books1. G.B.Thomasand R.L.Finney, Calculus and Analytic Geometry, llthedition, Pearson,2008.2. T. M.Apostol, Calculus, Volumes 1and2,2ndedition, Wiley, 1980.3. J.Stewart:Calculus, 5thedition,Thomson, 2003.

General properties of matter(3-1-0)GravitationNewtons Laws of gravitation, gravitational potential and intensity application of Gausss theorem and Laplaces equation in simple symmetric problems.Central force problem:Motion under central force, nature of orbits in an inverse square field, Keplers laws of planetary motion, Rutherford scattering.Elasticity Stress and strain tensors at any point in a continuous medium, small deformations, Hookes law, interrelations of elastic constants for an isotropic solid. Torsional Rigidity, bending moments and shearing forces, cantilever, beam supported at both ends, strain energy.Mechanics of Ideal fluids:Streamlines and flowlines, equation of continuity, Eulers equation of streamlinemotion-Bernoullis equation and its application.Surface tensionSurface energy and surface tension, angle of contact, excess pressure on a curved liquid surface, capillary rise, saturation vapour pressure on a curved surface.ViscositySteady flow of Newtonian fluids, Poiseuillis equation for incompressible fluids, Statements of Stokes law terminal velocity, effect of temperature on viscosity, Reynolds number, turbulent flow and crirical velocity References:1. Feynman lectures volume one2. General properties of matter by Chatterjee and Sengupta3. Classical mechanics by Goldstein4. Classical mechanics by Rana and Joag

INTRODUCYORY PHYSICS-I (PHY/PHY/110021) (3-1-0)

Kinetics: Force, Newton's laws of motion, Frames of reference, Momentum, Momentum of system of particles, Conservation laws, Center of mass, Variable mass system, Collision in laboratory and Center of mass system and Scattering.

Rigid body motion: Rigid body, Moment of inertia, Rigid body kinematics, Rigid body kinetics, Motion of gyroscope

Mechanical properties of matter: Modulus of rigidity, Poisson's ratio, relation connecting different elastic-constants, Viscosity, Poiseulle's equation of liquid flow through a narrow tube

Oscillations and Waves: Simple harmonic oscillation, damped harmonic oscillation and forced oscillation, Q factor and resonance. Differential equation of one dimensional wave and its solution, reflection and transmission of waves.

Relativity: Axioms of relativity, Lorentz transformation, length contraction, timedilation,.relativistic mass energy relation; Doppler effect.

Recommended books1. PhysicsPart-I:ResanickandHalliday.1. Mechanics:D.S.Mathur.3. ConceptinPhysicsVol.I:H.C.Verma.4. Mechanics:R.K. ShuklaandAnchalSrivastava.5. AnIntroductiontonMechanics:D.KleppnerandR.Kolenkow6. Mechanics (Berkeley Physics Course) Vol. I: C. Kettel, W. D. Knight, M.A. Rudermanand A.C. Helmholz-

Basic Physics-I (3-1-0)

Kinetics: Force, Newtons laws of motion, frames, momentum, momentum of system of particles, conservation laws, centre of mass.

Moment of Inertia: Definition, radius of gyration, theorem of parallel and perpendicular axes,Moment of inertia of simple systems: Disc, cylinder, rod, ring, rectangular lamina, sphere.

Mechanical properties of matter: Modulus of rigidity, Poissons ratio, relation connecting different elastic constants, viscosity, Poiseulles equation of liquid flow through a narrow tube.

Oscillations and Waves: Simple harmonic oscillation, damped harmonic oscillation and forced oscillation, Q factor and resonance. Differential equation of one dimensional wave and its solution, reflection and transmission of waves.

Relativity:Galilean transformation, axioms of relativity, Lorentz transformation and its consequences: length contraction, time dilation, simultaneity, addition of velocity, variation of mass with velocity(derivation not required), mass energy relation.References: 1. Physics part-1: Resnick and Halliday.2. Concepts in Physics Vol-1: H.C Verma3. Mechanics (Berkeley Physics course)Vol-1: Kittel, Knight, Ruderman and Helmholz.

PRINCIPLESOFCHEMISTRY-I (PHY/CHM/110030) (3-1-0)

Unit-I:Bohr'stheoryofhydrogen-likeatomsandions;spectrumofHydrogenatom.Quantumnumbers.Introductiontotheconceptofatomicorbitals; shapes,radialandangularprobabilitydiagramsofs,panddorbitals(qualitativeideas). Manyelectronatomsandions:Pauli'sexclusionprinciple,Hundsrule,Exchangeenergy, AutbauPrincipleanditslimitation.structureChemicalperiodicityPeriodicclassificationofelements,periodicityinproperties, classificationintometals,non-metalandinsulators.

Unit-II: Chemical bonding and Shapes of compounds - Structureand bonding, VSEPRtheory,molecularorbitaltheory, shapesofmolecules,hybridization,dipolemomentandbondmoment,ionicsolidsandlatticeenergy,BornHaberCycle.

BasicconceptsinOrganic Chemistry and stereochemistry -Valencebondtheory: conceptofhybridization,orbitalpictureofbonding(sp3,sp2,sp:C-C, C-NandC-O system),Electronic(inductive,electromeric,hyperconjugationandresonance)effects. bondpolarizationandbondpolarizability,stericeffect,stericinhibitionofresonance.

Stereo chemistry oforganiccompounds I:Atomic Conformation of ethane, n-butane, saw-horse, Newman and Fisher projection formula of molecules containing C-C.conformation of cyclohexane, axial and equatorial bonds boat and chair conformations. Isomers oflactic and tartaric acid, enantiomers,Unitdiastereomers,recemic modification, D-L notation and R - S notation

Unit-III: Acid Base Chemistry - Acid Base concepts: Arrhenius concept, Bronsted Lowry's concept,Lux-floodsalvationsystem,Lewisconcept,Hard-softAcidbasetheory(HSABtheory),indicators,Liquidammoniasystemwithreferencetoacid-basereaction, solvolysisandmetatheticalreaction,liquidS02asnon-aqueoussolventChemicalequilibriaand Kinetics - Equilibria,rates and mechanism of chemicalreactions:Controlofequilibriaandrateofreactions,enthalpyandentropy,intermediates andtransitionstates,roleofsolventandcatalyst,howmechanismofreactionsare discovered.

Recommended books1. IDLeeconciseChemistry5thEdition,Wiley-Blackwell2. IE.Huhee,R.L.KeiterandE.A.KeiterandO.K. Medhi,InorganicChemistry: PrinciplesandReactivity,4thEdition,PearsonEducation(2008)3. P.K.Dutt.GeneralandInorganicChemistry(Vol-I+Vol-II)4. J.Clayden,N.Greeves,S.Warren,P.Wothers,OrganicChemistry,OlJP.5. S.Sengupta:Organicchemistry6. D.A.McquarrieandJ.D. Simon:Physicalchemistryamolecularapproach7. G.W.Castellen:PhysicalChemistry8. S.R.Palit:ElementrayPhysicalChemistry9. P.C.Rakshit:PhysicalChemist10.T.E.BrownH. E.Lemay,B.E.Bursten,C.Murphy,Chemistry:TheCentralScience, 11th Edition, Prentice Hall

Waves and Oscillation (3-1-0)Vibrations:Linear harmonic oscillator- differential equation and its solution, free and forced vibrations of a damped harmonic oscillator, resonance, sharpness of resonance.A pair of linearly coupled oscillators,- eigen frequencies and normal modes, Lissajous figures, vibrations of a weakly an harmonic oscillator-generation of harmonics, frequency shift, basic principle underlying the production of combination tones.Waves:Linear equation of plane progressive wave motion in one, two and three dimension, plane wave and spherical wave solution, intensity of a plane Progressive wave , dispersion in wave propagation-group velocity and phase velocity.1. Transverse vibrations in stretched string,:Wave equation in the linear approximation, eigenfrequencies and eigenmodes for plucked and struck strings, energy of transverse vibrations, bowed strings.2. Velocity of acoustic waves in isotropic solids, liquids and gases.Derivation of the respective expressions with explanation of the approximations made.3. Doppler effect in acousticsDerivation of expression for Doppler shift in frequency4. UltrasonicsBasic principles of generation and detection.References:1. Advanced Acoustics by D P Raychoudhury2. Waves and oscillations , Berkeley Physics course3. Waves and Oscillation by H G Pane

Fundamentals of Computer & C Programming(PHY/COM/110050) (3-1-0)

UNIT-I: Introduction to computers, generations of computer, processors, memory hierarchy and I/O devices, System and application software, generation of languages, compiler, interpreter, assembler, Number systems, computer arithmetic

UNIT-II: Flow Charting, Sequential, Branching & Iterative. Introduction to 'C' asProgramming Language An overview of a 'C' programme, 'C' character set, 'C' tokens'C' keywords, Data Types (Primary, derived & user defined), Storage classes, symbolic constants, operators (Arithmetic, logical & Relational) Flow of control (If- else, switch case; while, do-while & for-loops)

UNIT-III: Functions (UDF, String Functions, Mathematical function). Recursion,pointers, array (2-D & 3-D), Strings, pre-processor directives, structures, linked list filehandling

UNIT-IV: C-Iab. Execution of a simple programme, Conditional & Un-conditional Branching, Loops, Functions (Integrative & Recursive), Arrays (2-D & 3-D), Structures, Linked Lists, File I/O.

Recommended books

1..B.WKernighan, D.M. Ritchie: The C Programming Language, Prentice Hall India, 1990.2. YashwantKanetkar, "Let us C", BPB Publications, 2nd Edition, 2001.3. E. Balagurusamy: Programming in ANSI C, 4th edition, Tata McGraw Hill ..

ENVIRONMENtAL STUDIES (PHY/EVS/110060) (3-0-0)

The multidisciplinary nature of environmental studies, definition, scope and importance,needs for public awareness

Natural resources, renewable and non-renewable resources, natural resources and associated problems, forest resources, water resources, mineral resources, food resources, energy resources, land resources, equitable use of resources for sustainable lifestyles

Ecosystems, concept of an ecosystem, structure and functions of an ecosystem, producers, consumers and decomposers, energy flow in the ecosystem, 'ecological succession, food chains, food webs and ecological pyramids, forest ecosystem, grassland ecosystem, desert ecosystem, aquatic ecosystems (ponds, lakes, streams, rivers, estuaries, oceans)

Biodiversity and its conservation, definition: genetic, species, ecosystem diversity, biogeographic classification of India, value of biodiversity: India as a mega diversity nation, hotspots of biodiversity, threats to biodiversity: habitat loss, poacfling of wildlife, man-wildlife conflicts, endangered and endemic species of India, conservation of biodiversity: in-situ and ex-situ.

Environmental pollution, causes, effects and control measures of air pollution, water pollution, soil pollution , marine pollution, noise pollution, thermal pollution, nuclear hazards, solid waste management, role of individuals in pollution prevention, pollution case studies, disaster managementSocial issues and the environment, sustainable development, Case studies, wasteland reclamation, environment protection act, air (prevention and control of pollution) act, water (prevention and control of pollution) act, wildlife protection act, forest conservation act, issues involved in enforcement of environmental legislation.Human population and the environment

Int. Biology

PHYSICS LAB-I (PHY/PHY/112070) (0-0-4)

1. Searle'smethod(Young'smodulus)2. Searle'smethod(Torsionalrigidity)3. Young'smodulus(BendingofBeam)4. Maxwell'sneedle5. Pohl'sPendulum6. ShearmodulususingTortionalpendulum7. Mechanicalhysteresis8. VelocityofsoundusingKundt'stube9. Forceofcurrentcarryingconductor10.Halleffect

INTRODUCTORY PHYSICS LAB-I (PHY/PHY/112080) (0-0-4)

I. Measurement oflengthanderroranalysis(ScrewgaugeandSlidecaliper)2. Radiusofcurvature bySpherometer3. Determination of' g'bybarpendulum4. Determination of'g' byfreefall5. MomentofInertiaofirregularbody6. MomentofInertia(Flywheel)7. Viscosity ofliquid(Stoke'slaw)8. Springconstant(Staticmethod)9. Springconstant (Dynamical method)

PRINCIPLES OF CHEMISTRY LAB -I (PHY/CHM/112090) (0-0-4)

Qualitative inorganic analysis of mixtures containing not more than 4 radicals from the following:

19

Basics radicals:

Na+, K+, Ca2+, Sr2+Ba2, + A13+,rC,.3+ Mn2+,eF,

3+ C0 3+, N13+, CU2+, Z. n2+

Acid radicals: F, cr, Br', I, S2', so42, S2032, N03', N02'Interfering radicals: P043., As043., B033

Determination of strength of acid and base by neutralization reaction (double titrationinvolving strong acid-weak base, etc).

Recommended books1. G. Svehla: Vogel's text book of Qualitative Inorganic Analysis (revised),Longman, Pearson Education.2. A.K. Nad, B. Mahapatraand A. Ghoshal: An Advanced Course in PracticalChemistry

SECOND SEMESTER

MATHEMATICS-II (PHY/MAT/120010) (3-1-0)

Linear Algebra: Vectors in Rn and C'n notions of linear dependence and independence, linear span of a set of vectors, vector subspaces of Rn and Cn, the basis of a vectorsubspace. Systems of linear equations, matrices and Gauss elimination, row space, nullspace, and column space, rank of a matrix. Determinants and rank of a matrix in terms of determinants Abstract vector spaces, linear transformations, matrix of a linear transformation, change of basis and similarity, rank-nullity theorem. Inner product space, the Gram-Schmidt process, orthonormal bases, projections, and the least Squares approximation. Eigenvalues and eigenvectors, characteristic polynomials, the eigenvalueof special" matrices (orthogonal, unitary, symmetric, Hermitian, skew-symmetric,normal). Algebraic and geometric multiplicities, diagonalisation by similarity transformations, Spectral theorem for real symmetric matrices and applications toquadratic forms

DifferentialEquations -I:Basicconcepts, Geometric meaning, Direction fields. 1storder linearequations, homogeneous and non- homogeneous, Solution Method forNonlinear equations, Separation of variables, Exact Differential equations, integrating factors BernoulliEquation, Orthogonal trajectories, Existence Uniqueness: Picardsiteration,2nd order Linear Differential equations: homogeneous equation with constant coefficients, Mass spring system, Existence Uniqueness, Wronskian, non-homogeneous equation, Method of undetermined coefficients, variation of parameters method, Higher Order equations: WronskianExistenceofsolution: Solution Methods forconstant coefficients, Laplacetransform generalities, Shiftingtheorems, Convolution theorem

Recommended books

1. E.Kreyszig, AdvancedEngineering Mathematics, 9thedition, Wiley,2005.2. G.Strang,LinearAlgebraanditsapplications, 4thedition, Thomson, 2006.3. W.E.BoyceandR.C. DiPrima, ElementaryDifferential Equation, 8thedition,Wiley,2005.4. H.Anton, C. Rorres, Elementarylinear algebra with applications, 9thedition,Wiley,2005.5. T.MApostol, Calculus, VolumeII,2ndedition, Wiley, 1980.

vector calculus (3-1-0)Transformation properties of vectors, scalar and vector products, differentiation and integration of vectors, concept of tensors, line integral, volume and surface integrals involving vector fields, gradient, divergence and curl of a vector field and their physical interpretations, Gauss divergence theorem, Stokes theorem, Greens theorem-applications, orthogonal curvilinear coordinate systems, unit vectors in such systems, illustration by spherical and cylindrical polar coordinates. Gradient, divergence and curl in cylindrical and spherical polarCoordinate systems, basic identities involving gradient, divergence and curl.Application of vector calculus to various physical problems.References:1) Vector Algebra by Spiezel2) Mathematical methods for physicists by Arfken and Weber.

INTRODUCTORY PHYSICS-II (PHY/PHY/120020) (3-1-0)

Vector calculus: Cylindrical andSpherical coordinate systems: Line, surface and volumeelements, Gradient, Divergence and curl of Fields, Divergence theorem, Stokes Theorem.Electrostatics: Coulomb's Law, Gauss's law (integral and differential form) and its applications, Energy of a charge distribution, Laplace's and Poisson's equations, Conductors, Method of images, Field and Potential due to dipole. Polarization in a dielectric, vectors D, P and E, linear dielectrics, force on dielectrics.Electric currents: Line, surface and volume currents and current densities, electrical conductivity and Ohm's law, equation of continuity, energy dissipation, Motion of charged particles in electric and magnetic fields

Magneto statics: Magnetic flux, Biot-Savart and Ampere's law, divergence and curl ofBand the differential form of Ampere's law, Vector potential.

Electrodynamics: Electromagnetic induction, motional emf and Faraday's law, inductance and energy in magnetic field, the displacement current, Maxwell's equations.

Electromagnetic Wave: EM wave in vacuum, dielectrics and conductors, Poynting's- theorem, Fresnel's equation .

Recommended books1. D.J.Griffiths, Introduction to electrodynamics r' Ed.2. E.M. Purcell, Electricity and Magnetism (Berkeley Physics course) 2nd Ed.3. R.P. Feynman, R. B. Leighton and M. Sands, The Feynman Lecture of Physics Vol. 4. E. Hecht, Optics, 4th Ed.5. F.A. Jenkins and H.E. White, Fundamentals of Optics.6. A.K. Ghatak, Optics.7. K.K. Sharma, Optics: Principles and applications.8. G.R. Fowles, Introduction to Modern Optics.

Basic Physics-II(3-1-0)

Fluids :Definitions of Fluid, pressure and density, measuring pressure, Pascals principle, ideal fluidsin motion, equation of continuity, Bernoullis equation, application of Bernoullis equation and equation of continuity, viscosity, turbulence and chaotic flow.

Thermodynamics and kinetic theory of gases:Zerothslaw of thermodynamics, heat and work, first law of thermodynamics, work done byan ideal gas, pressure, temperature and molecular kinetic energy, mean free path, specific heat of an ideal gas, definition of entropy, second law of thermodynamics, engines and refrigerators, third law of thermodynamics.

Optics:Lightas a wave, interference, Youngs interference experiment, coherence, intensity distribution in double slit experiment, interference from thin films, definition of diffraction, diffraction from a single slit and intensity distribution, diffraction by a circular aperture and its application in making eye pieces, X-ray diffraction. Polarization: Creation and detection.

Modern Physics:

Black body radiation, elementary ideas of Wiens displacement law and Rayleigh-Jeans Law,Plancks hypothesis-introduction of universal constant h, photoelectric effect, Einsteins Photoelectric equation, de-Broglie hypothesis, wave particle duality, electron waves, description Of Davisson -Germer experiment.

Basics of LASER and its applications:

Spontaneous emission, stimulated emission, Einsteins A and B coefficients, population inversion,Basics of LASER system (qualitative), some medical application, Holography.

References:

1) Understanding Physics by Karen Cummings et al.

PRINCIPLES OF CHEMISTRY-II (PHY/CHM/120030) (3-1-0)

Unit-I: Surface Chemistry - Adsorption-types-adsorption of gases on solids-adsorption isotherms - Langmuir, Freundlich adsorption isotherms-adsorption of solutes from solution-role of adsorbents in catalysis, ion-exchange adsorption and pollution abatement.Instrumental Methods of analysis - Introduction; Principles of spectroscopy; Laws of absorbance. IR: Principle, Instrumentation, Application. UV: Principle, Instrumentation, ApplicationUnit-II: Radioactivity and Nuclear chemistry - Origin of radioactivity, decay law, half life liquid drop model, and model and shell model, uses of radioactivity such as radiocarbondating, radiotracers, agricultural and medicinal uses including imaging. NuclearIreactions, fission, fusion, spallation; reactions involving a, , 'Y rays;neutrondiffraction. Countingtechniques, Geiger-Muller counter, Scintillationcounter, nuclear reactors, nuclearreactionsasalternative source of energy,nuclear reactors, variableenergycyclotron.iIUPACNomenclatureofOrganiccompounds:Alkane,alkene,alkyne,alcohol,ethanol, ether, aldehyde,ketone,acid,acidderivatives,amines,nitrites,cycliccompoundsand common namesoffewaromaticcompounds.

Opticalisomerismincompoundscontainingoneandtwoasymmetriccenters,designation ofabsoluteconfiguration,AromaticityandHuckel'srule,Establishmentofstructureofbenzene(heatofhydrogenation,calculationofresonanceenergy).

Unit-Ill: Water Technology-IntroductionandspecificationsofwaterHardnessandits determination, Alkalinity,Boilerfeedwater,boilerproblems- scale,sludge,priming&foaming:causes&prevention,Boilerproblems- causticembrittlement&corrosion: causes &prevention,Carbonate&phosphateconditioning,colloidalconditioning&calgon treatment,Watersofteningprocesses:Lime- sodaprocess, Ionexchange method, Reverseosmosis,Waterfordomesticuse.

RecommendedBooks:1. G. Svehla: Vogel's Qualitative Inorganic Analysis2. A.K. Nad, B. Mahapatra and A. Ghoshal: An Advanced Course 10 PracticalChemistry3. T. M. Penning: Chemical Carcinogenesis4. Organic Chemistry, T.W.G. Solomons and C.B. Fryhle, John Wiley, 8th Edn.,20075. Organic Chemistry, Stanley H Pine 5thEdn., 2007.6. Engineering Chemistry- Sunita Rattan7. Engineering Chemistry-ShashiChawla8. Physical Chemistry of surfaces A. W. Adamson and A.P. Gast9. Fundamentals of Molecular Spectroscopy, C.N. Banwell and E.M. McCash, TataMcGraw Hill, 1995.10. Modem Spectroscopy, J.M. Hollas, John Wiley, 4thEdn., 2004.

COMMUNICATIVE ENGLISH (PHY/ENG/120040) (3-0-2)

Unit0I:Partsofspeech;Articles; AuxiliaryVerbs;PrepositionsUnit 02: Phrases; Clauses; Sentences; Tense; Voice; Narration; Functional Elements inSentencesUnit 03: Paragraph writing; Summary writing; Paraphrasing; Precis writing; Letter writing; Resume; C.V.; Job Applications; Report writing; Note taking; DictationUnit 04: Reading Comprehension (from the subject area)Unit 05: Functional use of language; Situational use of language; Academic use of languageUnit 06: Listening and Speaking; Conversation; Language Lab.

Heat (4-0-0)Kinetic theory of gases: Basic assumptions of kinetic theory, ideal gas approximation, deduction of perfect gas laws, Maxwells distribution of gas laws(both in terms of velocity and energy), root mean square and most probable speeds, finite size of molecules, collision probability, distribution of free path and mean free path from Maxwells distribution, Degrees of freedom, equipartition of energy, application to specific heat, Dulong-Petits Law.Transport Phenomenon: Viscosity, thermal conduction and diffusion in gases, Brownian motion, Einsteins theory, Perrins work, determination of Avogadro number.Real gases:Nature of intermolecular interaction, isotherms of real gases, van der-WaalsEquation of state, olther equations of state, critical constants of a gas, law of corresponding states, virial coefficients, Boyle temperature, limitations of van der-Waals equation of state.

References:1. A treatise on Heat by Saha and Srivastava2. Feynman Lectures first volume

MODERN PHYSICS (PHY/PHY/121060) (4-0-0)

Origin of Quantum Theory: Inadequacy of Classical Mechanics, The Franck-Hertz Experiment, Space Quantization: Stem and Gerlach Experiment, Limitations of old Quantum Theory, Wave Nature of Particles: Matter Waves, Experimental Confirmation of Particle Waves, G. P. Thomson's Experiment, Applications of Electron Diffraction, Bohr's Correspondence Principle.

Atomic Structure of Matter: Thomson's Atom Model, Rutherford's Nuclear Atom Model, Hydrogen Spectrum, Bohr's Theory of Atomic Structure, Bohr's Theory of Hydrogen Atom, Sommerfeld correction, Spectrum of Ionised Helium, Finite Mass Correction, Discovery of Heavy Hydrogen (Deutron), Hydrogen Like Spectra, Alkali Atomic --Spectra, Excitation and Ionisation Potentials, Experimental Evidence for Quantisation, Types of Spectra, Emission and Absorption Line (atomic) Spectra, Fluorescenceand Phosphorescence.

Photoelectric effect and Emission spectrum: Introduction, Einstein's photoelectric equation, Compton effect, Theory of Compton effect, Applications of photoelectric effect.

X-rays: Production of X-rays: Coolidge Tube, Properties of X-rays, Measurement of the Intensity of X-rays, Variation of X-ray Intensity with Wavelength, Origin of Continuous Spectrum, Origin of Characteristic X-ray Spectrum, Absorption of X-rays, Moseley'sLaw, X-ray diffraction, Bragg's law, Determination of crystal structure.

Radioactivity: Natural and artificial radioactivity, Properties of a, and y rays, fundamental laws of radioactivity, radioactive disintegration, half and average life periods, activities of radioactive substances, radiation damage, radiation detectors: G M Counter, Scintillation counter, semiconductor detectors, bubble chamber, spark chamber detector, production of artificial radioactivity, radio-isotopes, application of artificial radioactivity,radioactive dating (radiometric, carbon and geological).

The Nucleus and Nuclear Energy: Nuclear Mass, Nuclear Size, Angular Momentum of the Nucleus, Constituents of the Nucleus, Neutron as Building Block, Binding Energy, Stable Nuclei, Decay of Unstable Nuclei, Nuclear Fission, Spontaneous Fission and Potential Barrier, Emission of Neutrons in Fission, Self-Sustaining Chain Reaction: Nuclear Reactor, Neutron Balance in Reactor, Uncontrolled Chain Reaction-Bomb, Nuclear Fusion, Controlled Fusion, Fusion in Stars.

Recommended books1. J.B.Rajam, Modern Physics2. S.L. Kakani& S. Kakani, Modern Physics3. H.S. Mani & G.K. Mehta, Introduction to Modern Physics4. A.S.Vasudeva,Modern Physics

ENGINEERING DRAWING AND GRAPHICS(PHY/EDG/121070) (1-0-3)

Introduction to IS code of drawing; Conics and Engineering Curves ellipse, parabola, hyperbola, cycloid, trochoid, involute; Projection of lines traces, true length; Projection of planes and solids; sold objects cube, prism, pyramid, cylinder, cone and sphere; Projection on Auxiliary planes; Isometric projection, isometric scale; Section of solids true shape of section; Introduction to CAD tools basics; Introduction of Development and Intersection of surfaces.

INTRODUCTORY PHYSICS LAB-II (PHY/PHY/122110) (0-0-4)

1. Kater's Pendulum2. Coupled pendulum3. Magnetic hysteresis loop4. Surface tension5. Viscosity6. Dielectric constant of different materials7. Charging curve of a capacitor8. Magnetic field of paired coils in Helmholtz arrangement9. Electromagnetic induction10. Force of current carrying conductor11. Velocity of sound using resonance tube

PRINCIPLES OF CHEMISTRYLAB-II (PHY/CHM/122120) (0-0-4)

Identification of organic compounds through the detection of extra elements (nitrogen, sulphur, and halogens), functional group analysis (carboxylic, phenolic, carbonyl, alcoholic, carbohydrates, amides, amines, nitro), determination of melting pointlboiling point and preparation of suitable derivatives.

Recommended books1. The Systematic Identification of Organic Compounds, R.L. Shriner, C.K.F.Hermann, T.C. Morrill, n.Y. Curtin and R.C. Fuson, John Wiley, 8th Edn., 2004.2. Practical Organic Chemistry, A.I. Vogel, ELBS, 2002.3. Laboratory Manual in Organic Chemistry, R.K. Bansal, Wiley Eastern, 1980.4. A Collection of General Chemistry Experiments, A.1. Elias, Universities Press,2007.

Third Semester

MATHEMATICS-III (PHY/MAT/210010) (3-1-0)

Partial Differential Equations Formation of PDE, Equations solvable by direct integration, Linear equations of the first order, Non-linear equations of the first order, Charpit's method, Hom~eneous linear equations with constant coefficients, Non homogeneous linear equations Fourier Series Periodic Functions, Fourier Series, Functions having points of discontinuity, Even or Odd Functions, Change of Interval, Half-range series, , Parseval's Formula, Complex form of Fourier series, Practical Harmonic Analysis, Fourier Transforms, Sine and Cosine Transforms.

Laplace Transformation Definition, Transforms of elementary functions, Properties of Laplace transforms, Existence conditions, Transforms of derivatives, Transforms of integrals, Evaluation of integrals by Laplace transform, Inverse transforms, Other methods of finding inverse transforms, Convolution theorem, Application to differential equations, Simultaneous linear equations with constant coefficients, Unit step functions, Periodic functions.

Linear Programming Formulation of the problem, Graphical method, Canonical and Standard forms of L.P.P. Simplex Method, Artificial variable Techniques-M-method, Two phase method, Degeneracy, Dual simplex method.

Recommended books1. Differential Calculus by Shanti Narain2. Integral Calculus by Shanti Narain3. Higher Engineering Mathematics by B.S. Grewal4. Differential Equations by A.R. Forsyth5. Higher Engineering Mathematics by H.K. Dass

THERMAL PHYSICS (PHY/THP/211020) (4-0-0)

Thermodynamics: Microscopic vs. macroscopic view, Thermodynamic equilibrium, Work, Heat and 1sr law of thermodynamics, Reversible, Irreversible and quasi-static process, Second law, Carnot's cycle and Carnot's theorem, Thermodynamic scale of. Temperature, Entropy, T-S diagram, TdS equations, Heat engines, Refrigerators, Thermodynamic functions, Internal energy, Enthalpy, Helmholtz function and Gibb's free energy, Maxwell's thermodynamic equations and their applications, Nernst heat theorem,Third law of thermodynamics.

Kinetic Theory: Basic concepts, Maxwell distribution, Equation of state, Van der Waals equation,Brownian motion.

Radiation: The blackbody spectrum, Wien's displacement law, Rayleigh-Jean's law,

Planck's quantum theory of radiation.

Recommended books1. Heat and Thermodynamics: K.W. Zeemansky.2. Thermal Physics: B.K. Agarwal.3. Heat and Thermodynamics: BrijLal and N. Subramanyam.4. Heat and Thermodynamics: Dayal, Verma and Pandey.5. A Treatise on Heat: M.N. Saba and B.N. Srivastava.

OPTICS (PHY/OPT/211030) (4-0-0)

Interference: Wavepropagation,1-0and3dimensional waveequations,Sinusoidal waves, Phase and Group velocities; Superposition of waves, Interference by division of wave-front, Concept of spatial and temporal coherence; Interference by division of wave-front: Fresnel Bi-prism, Interference by division of amplitude: Anti-reflecting films; Colour of thin films; Newton's rings; Michelson interferometer.Fabry Perot interferometer,Resolution and Free spectral range Diffraction: Fraunhofer diffraction: diffraction by a single slit, double slit, circularaperture; Resolving power of microscopes and telescopes; Diffraction grating, Resolving power and Dispersive power, Fresnel diffraction: Zone plate,diffraction due to straight edgePolarization: Concept of linear, circular and elliptical polarizations; Brewster's law and Malus'slaw; Double refraction by crystals; Interference of polarized light, half wave and quarter wave plates; Analysis of polarized light; Kerr effect, Pockel's effect, Faraday effect, Fermat's Principle, Ray equation and its solution

Recommended books1. PhysicalOptics:B.K.Mathurand T.P. Pandya.2. A TextbookofOptics:N. Subrahmanyam, BrijlalandM.N.Avadhanulu.3. GeometricalandPhysicalOptics:Longhurst.4. Optics: Ajoy K. Ghatak5. Optics:P.K. Srivastava.

Classical Mechanics-I (5-0-0)

Mechanics of a Particle and System of Particles Classical mechanics and other theories Conservation principles (laws) Mechanics of a particle Conservation of linear momentum Conservation of angular momentum Conservation of energy Mechanics of a system of particles Conservation of linear momentum Conservation theorem for angular momentum Conservation of energy

Variational Principle Introduction to calculus of variations, Some techniques of calculus of variations Variational technique for many independent variables; Euler-Lagrange differential equation Hamilton's variational principle Deduction of Lagrange's equations of motion from Hamilton's principle (for conservative systems)

Rotating Frames and Relative Co~ordinate SystemsInertial v/s Non inertial systems Translational motion Rotating co-ordinate system Effect of Coriolis force on the moving bodies on earth Free fall of a body on earth's surface Some more terrestrial and meteorological manifestations of coriolis force Formation of cyclones Tradewinds and tropical winds Derivation of coriolis force from Lagrangian formulation Foucault Pendulum Precession of charged particles in a magnetic field Orthogonal transformations Matrix algebra and orthogonal transformation

Rigid Bodies-Kinematics and Dynamics Generalized co-ordinates for rigid body motion Euler's theorem Chasles' theorem Euler angles Angular velocity of a rigid body Angular momentum of rigid body Moments and products of inertia Principal axis transformation Rotational kinetic energy of a rigid body Moment of inertia of a rigid body Equations of motion of a rigid body-Euler's equations Torque free motion of a rigid body-Poinsot solutions The motion of a symmetric top under the action of gravity

Text Book: Classical Mechanics by H.Goldstein,Narosa publicationClassical Mechanics by N.C.Rana and P.S.Joag, Tata Mc-Graw Hill Publishing Company Limited, New Delhi.Classical Mechanics by Gupta, Kumar Sharma, Pragati EditionReferences:

1) Classical Dynamics of Particles and Systems by Marion and Thomtron, ThirdEdition, Horoloma Book Jovanovich College Publisher.2) Classical Mechanics by P.V.Panat, Narosa Publishing Home,, New Delhi.3) Introduction to Classical Mechanics by R.G.Takawale and P.S.Puranik, Tata M\c-Graw Hill Publishing Company Limited, New Delhi.

Mathematical Physics-I (5-0-0)

Preliminary topicsInfinite sequences and series convergence and divergence, conditional and absolute convergence, ratio test for convergence. Functions of several real variables, partial differentiation, Taylors series, multiple integrals. Random variables and probabilities, statistical expectation value, variance, binomial distribution, Gaussian distribution, Poisson distribution-examples, introduction to Gamma and Beta functions.

Differential equations:(i)Partial differential equation:Solution by the method of separation of variables, Laplaces equation and solution in Cartesian, spherical polar and cylindrical polar coordinate systems. Wave equation and its plane and spherical wave solution.

(ii)Ordinary differential equations:Solution of second order linear differential equations with constant coefficients by Frobenius method. Solution of Legendre ,Hermite ,Laguerre and Bessel (first kind) equation, generating function , recurrence relation, orthonormality properties, Dirac delta function, Kroneckerdelta function.

Recommended books

1. Mathematical Physics by Arfken and Weber2. Mathematical Physics by Boas3. Complex analysis by Churchill and Brown4. Partial differential equation by Frank Ayres5. Mathematical Physics by Hassan

APPLIED PHYSICS LAB-III (PHY/APL/212060) (0-0-10)

1. Kater's Pendulum;2. Lee's Method3. Photoelectric effect4. Young's modulus5. Newton's ring6. Coils in AC circuit, capacitor in the AC circuit and RLC circuit7. Dispersion and resolving power of prism 8. Ttansmission grating9. Michelson Interferrometer10. Thermal and electrical conductivity of copper and aluminum11. Laser diffraction12. Polarimeter

Fourth Semester

MATHEMATICAL PHYSICS-II (PHY/MPH/221010) (4-0-0)

Linear vector spaces and operators:Vector spaces and subspaces, linear dependence and independence, basis and dimensions, linear operators, inverses, matrix representation, similarity transformation, eigenvalues and eigenvectors, inner product, orthogonality, Gram-Schmidt orthogonalization procedure, self adjoint and unitary transformation, eigenvalues and eigenvectors Hermitian operators, diagonalization.

Complex analysis:Complex algebra, Cauchy-Riemann conditions, analytic functions, Cauchys integral theorem, Taylor expansion, Laurent Expansion, conformal mapping, singularities, calculus of residues, contour integration, dispersion relation, the method of steepest descent.

Fourier Analysis:Fourier expansion, statement of Dirichletscondition, analysis of simple waveforms with Fourier series. Fourier transform and integral, Dirac delta function and its Fourier transform.Convolution theorem, Laplace transform and its properties, Laplace transform of Dirac delta function.

Recommended books1. MathematicalMethodsforPhysicists:Arfkenand Weber2. Mathematical Physics:P.K.Chattopadhyay3. Mathematical MethodsinPhysicalSciences:Boas4. MathematicsforPhysicistsandEngineers:Pipes

Quantum PHYSICS (PHY/QPH/221020) (4-0-0)

Limitations of Classical Physics: Black body radiation (without derivation), Photoelectric effect, Compton effect, electron diffraction. Wave Packets and Uncertainty Relation: de Broglie hypothesis, Wave-particle duality, Wave packets, Group velocity and phase velocity, Uncertainty principle, Complimentarily. Wave Mechanics: Schrodinger wave equation, Physical interpretation of wave function, Probability current density and conservation of probability, Free particle wave function, Observables, Hermitian operators, Expectation values, Ehrenfest's theorem, Stationary states, Superposition principle, Commutation relations. Application of Sehrodinger Wave Equation: Particle in one dimensional Box, Potential Step, Square well, Rectangular potential barrier and tunneling (e.g. STM, AFM), Linear harmonic oscillator, Spherically symmetric potential, Angular momentum operators and their eigen functions, Concept of spin, Hydrogen atom.

Recommended Books1. Quantum Physics: H.C. Verma2. Concept of Modem Physics: A. Beiser3. Quantum Mechanics: L.l. Schiff4. Quantum Mechanics: A. Massiah.

ELECTRONICS-I (PHY/ELE/221030) (4-0-0)

Semiconductor devices: Semiconductor diodes: pn junction, 1-V characteristics, application in rectifiers, Zener diode and its applications, Bipolar Junction Transistor BJT): pnp and npn transistors, CB, CE and CC configurations, Emitter follower. Field Effect Transistor (FET): Classification, construction, characteristics and biasing of JFET, Idea of MOSFET.

Analog Circuit: Small signal amplifiers, tuned voltage amplifier, push-pull amplifiers, power amplifiers, feedback amplifier (+ve and -ve), voltage and current series feedback circuits, Barkhausen criterion of oscillations, tuned collector oscillator, Hartley / Colpitt oscillator, phase-shift oscillator and multivibrators.

Operational amplifiers: Block diagram, characteristics, offset parameters, slew rate, CMRR, open loop and close loop gain, inverting and non-inverting amplifier, Application of OPAMP in mathematical operations (addition, integration and differentiation). Modulation: Need and types, amplitude modulation, analyses of AM wave, modulator, demodulator circuits. Digital circuits: Binary numbers, binary-to-decimal conversion, Logic gates (AND, OR, NOT, NOR and NAND) and their realization using diodes and transistor, Booleanalgebra, Boolean equation of logic circuits, DeMorgan theorem, Method of realizing a circuit for a given truth table, Sum of product (SOP and Product of sum (POS) representations, Karnaugh map and simplification (elementary idea), Half adder 'and Full

Recommendedbooks1) P.HorowitzandW.Hill,TheArtofElectronics.2) R.Gayakwad,Op-AmpsandLinearIntegrated Circuits, 4thEd.3) P.MalvinoandD.P. Leach,PrincipleofDigitalElectronics.4) T.L.Floyd,Electronic Devices.5) D.R.ChoudharyandS.B. Jain,LinearIntegrated Circuits.6) P.MalvinoandI.A.Brown,Digital Computer Electronics.

SOLID STATE PHYSICS-I (PHY/SSP/221040) (4-0-0)

UNIT I Crystal Structure:Amorphous and crystalline materials, crystal lattice, crystal planes and Miller indices, unit cells, typical crystal structure, coordination number, packing fraction, Diffraction of X-ray by crystal lattice, Brags law, laues formulation of X-rayndiffraction,reciprocal lattice, Brillouin zones, Laue spots, rotating crystalanddebyeScherrer methods, geometrical structurefactor, atomic form factor, calculation for bcc,fcc and diamond structure, Metallic structure, close packed structure, quasicrystal.

UNIT II Defects in solids: Lattice defects, vaccancies, Schotky and Frenkel pairs, edge and screw disslocations, experimental methods to observed defects, neutron and electron diffraction methods.

UNIT III Band Theory of solids: The Bloch theorem, Bloch functions, The Kroning-penney model, Number of wave functions in the band, Velocity and effective mass of the electron.

UNIT IV Bonding in solids: Lennard jones potential, concepts of cohesive energy, covalent bonding and its origin, ionic bonding, energyof bonding , transtion between covalent and ionic bonding,mettalic bonding, Vander waalsbonding,hydrogen bond.

UNIT V Lattice vibrations: Vibrational modes of continuous media, phonon, linear monoatomic and diatomic chains, acoustical and optical phonons, qualitative description of phonon spectrain solids.

UNIT VI Specific heat of solids: Einstein and debye theories of specific heat of solids, density of states, T3 law, Normal and umklapp process.

Recommendedbooks1. Solid state Physics : S.O. Pillai1. Solid state Physics : N. W. Ashcroft and N. David Mermin1. Solid state Physics : R. K. Puri and V. K. Babbar1. Solid state Physics : C. Kittel1. Elementary Solid state Physics : M. Ali Omar

ELECTRICITYY and MAGNETISM-I (4-0-0)

1st MODULE: Electrostatics: Electric charge, Conservation of charge, Coulombs law, Electric field, Charge distribution, Flux and Gausss law and applications. Electric Potential: Line integral of the electric field Potential difference and potential function and its gradient, Derivation of the field from potential, potential for specific cases, Energy associated with an electric field, Gausss theorem and differential form of Gausss theorem, The Curl of electric field and Stokes theorem, Work and energy in electrostatics, Laplaces equation in one, two and three dimensions, Conductors and insulators, conductors in electrostatic field, some simple systems of conductors, energy stored in a capacitor, boundary conditions and uniqueness theorem, Method of images, Separation of variables in Cartesian, cylindrical and spherical coordinates.Multipole expansion, Electric fields in matter: Polarization: i. dielectrics, ii. induced dipoles, iii. Allignment of polar molecules, Field of polarized objects: i. bound charges and their physical interpretations, ii. Field inside a dielectric, Electric displacement: i. Gausss law in presence of dielectrics, ii. Boundary conditions, Linear dielectrics.

2nd MODULE:Electric currents and fields of moving charges:, Electric current and current density, Steady current and charge conservation, Ohms law, electrical conduction in metals and semiconductors, Circuits and circuit elements, Energy dissipation in current flow, Electromotive force.Magnetic Circuits And Induction:Magnetic Circuits, Magnetic Materials and their properties, static and dynamic emfs and force oncurrent carrying conductor, AC operation of Magnetic Circuits, Hysteresis and Eddy currentlosses.

3rd MODULE: Magnetostatics: Biot-Savarts law, Amperes law and its applications, Vector potential, Determination of vector potential from Biot-Savarts law, Vector potential for a circular current loop, Force due to magnetic fields; Lorentz force, Lorentz force in potential form, Force on a dipole in an external field, Magnetic moment, Multipole expansion of vector potential, Magnetization in materials, Magnetic boundary conditions, methods of solving boundary value problems in magnetostatics, The field of a permanent magnet, Uniformly magnetized sphere, magnetic energy.

4th MODULE: Electromagnetic induction: Faradays law, Induced electric field, Inductance, examples of inductance, Reciprocity theorem, Energy in magnetic fields, Maxwells equations in free space and in matter, Magnetic charge, Boundary conditions.

References:1. Introduction to classical electrodynamics - Griffiths.2. Classical electrodynamics Third Edition -John David Jackson3. Electricity and Magnetism - Edward M. Purcell Berkeley Physics Course, 4. Vol. 25. Electricity and Magnetism C.J.Smith. Edward Arnold Ltd.6. Elements of Electromagnetics-M. N. O. Sadiku, 5th Edn, Oxford Univ. Press, 2010.7. Electricity and Magnetism- KK Tewari8. Sehgal, Chopra and Sehgal Elecricity and Magnetism9. Duggal and Chabbra Electricity and Magnetism 10. Z. Popovic, B.D. Popovic, Introductory Electromagnetics, Printice Hall, 1999.

APPLIED PHYSICS LAB-IV (PHY/APL/222050) (0-0-10)

1. pnandZener characteristics.2. Determination ofbandgapofasemiconductor3. Transistor characteristics.4. CEamplifier andfrequency response.5. Clipperandclamper circuits.6. Multi-vibrators7. Different rectifierandfiltercircuits8. Hartley andColpitt'soscillator.9. FET characteristics.10.Op-amp: Inverting andnon-inverting amplifier.11. Varificationoftruthtable(AND,OR,NOT,NOR&NAND circuits)12.Halleffect

FIFTH SEMESTER (Elective)

INTERMEDIATE ENERGY NUCLEAR PHYSICS (3-1-0)

Nucleon StructureNucleon as a composite particle, Constituents of nucleons, Quark and their properties, Static quark model for nucleons and pions, Wave function of nucleons and calculation of their chargeNuclear ForcesTwo body nuclear forces, general symmetry properties of two-nucleon, Hamiltonian and two nucleon states, The most general phenomenological potential, Physical significance of the different terms contributing to the potential, Matrix elements of two-nucleon potential, Two nucleon Schrodinger equation, Operator structure of Argonne v14 potential.Pion PhysicsPions and their properties, Interaction of pions with nucleons, Yukawa interaction, bilinear covariants, One boson exchange potential, Derivation for the exchange of scalar and pseuodoscalar mesonsPion-Nucleon ScatteringPion nucleon scattering: isospin analysis, Partial wave analysis, phase shift and angular distributions, Pion-nucleus scattering at low energies Books Recommended1) Introductory Nuclear Physics, Prentice Hall by S.M. Wong2) Theoretical Nuclear Physics, John Wiley & Sons by H. Feshbach3) Theory of Nuclear Structure, East West Press by M. K. Pal

Applied Radiation PHYSICS (3-1-0)

Idea of Nuclear Processes in Radioactive Sources

Characteristic of nuclear radiations, alpha decay, beta decay, electron capture, gamma emission, annihilation radiation, alpha Sources, gamma Sources, neutron sources, source activity, law of radioactive decay, statistical error of nuclear physics, radioactive growth and decay, decay chainsNuclear Radiation Passes Through Matter

cross-section, interaction probability in a distance and mean free path, stopping power of charged particles, straggling, Qualitative discussion of Bethe-Bloch formula, Radiation length, Half thickness, range of electrons, interaction of photons, neutrons and charged particles with matter

CharacteristicsofDetectors:

Sensitivity, Detector response, Energy resolution, Response time, Detector efficiency,Dead time,Recovery time, Ionizationmechanismandintroductoryideaof somecharged particle, gamma rays and neutron detectors.

Protection of Radiation

Dosimeter, Dosimetric Units, Roentgen, Absorbed dose, Relative Biological effectiveness(RBE),Equivalentdose,EffectiveDose,Typicaldosesfromsources(Natural,Environmental&Medicalexposures),Radiationshieldinganditssafety(Gamma- rays,electrons,positrons,chargedparticles,Neutrons),Ethicsofradiations.

RadiationEffectsonBiologicalSystems:

High doses received ina short time, Low-leveldoses limits, direct ionization ofDNA,radiationdamagetoDNA,Biologicaleffects(Genetic,Somatic,Cancerandsterlity).

ReferenceBooks:1) IntroductiontoExperimentalNuclearPhysics byR.M.Singru.2) APrimerinAppliedRadiationPhysics byF.A.Smith.3) RadiationBiophysics byE.L.Alpen.4) Atom,RadiationandRadiationProtection byJ.Turner.

Nuclear Detector Array and Related Electronic Modules(3-1-0)

Idea about accelerators and radiation detectors, Gamma detector array, Charged Particle detector array, Neutron detector array, Indian National Gamma array, Pulse shape Discriminator, High voltage Power supply, Pre-amplifier, amplifier, variable Gain amplifier, Gate and delay generator (GDG), Analog to Digital converter (ADC), Anti-Compton shields, BGO Compton shields, Photomultiplier Tubes, Computer Automated Measurement And Control (CAMAC), Time to digital converter (TDC), 16 channel fast amplifier, Constant fraction discriminator (CFD), Fan-in/Fan-out (FIFO), Delay Generator, Idea of Charged Particle gamma Coincidence and gamma- gamma coincidence, Oscilloscope, Liquid nitrogen Dewar

Reference: 1) IUAC Annual Reports 2005-2013

Classical Field Theory (3-1-0)Simple Field TheoryIntroduction to field theory ,Field theory as a continuum limit, Euler Lagrange equation, The stress-energy tensor, Hamiltonian formulation, Poisson bracket and momentum representation

Special RelativityPostulates, Lorentz transformation and its properties, Four vectors in special relativity and their tensorial notation, Space time diagram, Relativistic free particle action, Relativistic equation of motion

Relativistic field theoryReal scalar field, Symmetries and formulation,Noethers theorem, Covariant current, Stress energy tensor, explicit illustration of time and space part

Electromagnetic FieldsFormulation in terms of four vector potential, Action in terms of F , Explicit illustration in terms of electric and magnetic fields, Maxwells equations as the corresponding Euler-Lagrange equation, Application of Noethers theorem, stress-energy tensor, equation of continuity

References:1) Classical theory of fields by Landau-Lifshitz2) Classical mechanics by Goldstein3) Classical electrodynamics by Griffiths4) Matrices and Tensors in Physics by A W Joshi5) Theory of relativity by Bergmann

CONCEPTUAL DEVELOPMENT OF QUANTUM MECHANICS (3-1-0)THE FORMATION OF QUANTUM CONCEPTS

1 Unsolved Problems in Classical Physics , The Concept of Quanta of Energy, The Concept of Quanta of Radiation, Elaborations of the Concept of Quanta, Applications of Quantum Conceptionsto the Molecular Kinetic Theory

EARLY APPLICATIONS OF QUANTUM CONCEPTIONSTO LINE SPECTRARegularities in Line Spectra, Bohr's Theory of the Hydrogen Atom

THE OLDER QUANTUM THEORY Quantum Conditions and the Adiabatic Principle, The Correspondence Principle, The Zeeman Effect and Multiplet Structure, 4 Exclusion Principle and Spin

THE TRANSITION TO QUANTUM MECHANICSApplications of Quantum Conceptions to Physical Optics, The Philosophical BackgroundofNonclassical Interpretations, Nonclassical Interpretations of Optical Dispersion

THE FORMATION OF QUANTUM MECHANICSThe Rise of Matrix Mechanics, Modifications of Matrix Mechanics, The Rise of Wave Mechanics

STATISTICAL TRANSFORMATION THEORYThe Introduction of Probabilistic Interpretations, The Transformation Theory, The Statistical Transformation Theoryin Hilbert Space

THE COPENHAGEN INTERPRETATION The Uncertainty Relations, Complementarity

VALIDATION OF THE THEORY Some Applications of the Theory

TWO FUNDAMENTAL PROBLEMS Completeness, Observation and Measurement

REFERENCE;

1. CONCEPTUAL DEVELOPMENT OF QUANTUM MECHANICS BY MAX JAMMER.

MATHAMATICAL BIOLOGY (3-1-0)

Continuous population models for a single speciesContinuous growth model, insect outbreak model, delay model and its linear analysis: periodic solution, harvesting a single natural population, population model with age distribution Discrete population models for a single speciesSimple models and a graphical procedure of their solutions, discrete logistic type model: chaos, stability, periodic solution and bifurcation, ecological implications, tumor cell growthModels for interacting populationPredatory-prey models, complexity and stability, competition models, mutualism, threshold phenomenonEpidemic models Simple epidemic models and practical applications, examples, modeling transmission dynamics of HIVGeneral mathematical modelsSimple random walk and derivation of the diffusion equation, reaction diffusion equation and equation of continuity, models for animal dispersion, chemotaxis (smell related dispersion)Recommended text :1) Essential Mathematical Biology Nicholas F. Britton Springer (2004)2) An Introduction to Mathematical Biology Linda J. S. AllenPearson (2006)3) Mathematical Models of Biological Systems Hugo van den BergOxford University Press (2011)4) Applied Partial Differential Equations J. David LoganSpringer (2011)

NANOSIENCE ANDNANO-TECHNOLOGY(3-1-0)

Introduction to Nanoscience and Nanotechnologies, Nanoscience in Nature, History of Nanotechnologies,Fundamental "nano effects": electrical, optical, magnetic, mechanical, chemical properties, Overview of nanomaterials: metals, alloys, oxides, chalcogenides, magnetic, carbon nanotube, composites, etc. and small structures:

Quantum dots , Quantum wells and Quantum wires. of nanotechnologies: medicine and health care, environment, energy, electronics, information and communication technologies, agriculture and food- technology, etc.

Characterization methods:X-ray diffraction; scanning tunneling microscopy, atomic force microscopy, UV-visible and FTIR spectroscopy, photoluminescence

Synthesis of nanoscale materials: Top down (Mechanical iteration, photolithography Scanning lithography,scanning probe lithography, e-beam lithography, soft Lithography colloidal lithography) and bottom up (plasma arcing, chemical vapour Deposition ,sol-gel, soft chemical, biochemical) approach

Recommended books

1)Guozhong Cao, Nanostructures and Nanomaterials Synthesis, PropertiesandApplications.2) C. N. R. Rao, A. MOiler, A. K. Cheetham, The Chemistry of Nanomaterials.Wiley-VCH.3)Hari Singh Nalwa, Encyclopedia of NanotechnologyBharatBhusan, SpringerHandbook of Nanotechnology.4) G. Schmid, Nanoparticles: From Theory to Application, Wiley VCH.

FIBRE AND INTEGRATED OPTICS

Optical Fibers:Structure of optical fibers, Step and graded index fibers, Single, multimode and W-profile fibers. Meridional and skew rays.Numerical aperture and acceptance angle. Multipath, Material dispersion, their combined effect, RMS pulse widths and frequency response Birefringence, Attenuation in optical fibers Absorption, Scattering, Radiative losses. Photonic crystal fibers.Wave Propagation in Step-index Fibers: Modes in a step-index fiber, Weakly guiding solutions, Time dispersion, Material Dispersion and Waveguide dispersion in single-mode fibers.Wave Propagation in Graded-index Fibers: Modes in graded index fibers. Approximate solution (WKB Approximation).No. of propagating modes.The equivalence of WKB Approximation and the ray model. Inter model and Intra model dispersion in graded-index Fibers. Mode coupling.Optical Sources: Light -Emitting Diodes and laser diodes(KT-??). Fiber lasers(KT-??). Power launching and coupling techniques (KT-411). Source of Power coupling.Fiber to Fiber joints and splitting techniques.(8)

Photo Detector and Sensors: Photo Detectors (KT), PIN Photodiodes and Avalanche photodiode(KT). Noise performance(GK-231)(KT-259). Fiber Optics sensor (KT-397) and photonic circuits.Optical fiber fabrication (GK-70) and cabling.fiber assessment. (measuring techniques for fiber characteristics); Measurement of attenuation, index profile, numerical aperature(KT-411). Time domain and frequency domain dispersion measurement.Application of fiber optics.

Text Book: Optical Communication Systems by John Gowar.References: Optical Fiber Communication Systems by Gerd Keiser.Introduction to Optical fibers: A.K. Ghatak and K. Thayagarajan

Experimental Physics (3-1-0)

Introductory remarks , necessity and usefulness, introduction to different pumps and gauges, Measurement of low pressure penning-pirani gauges, General introduction to different analytical probes .

Structural and microstructural measurement techniques : X-ray diffraction, experimental set up and its working, small angle x-ray diffraction and data interpretation . Scanning electron microscopy :Basics, experimental set up and working , Transmission electron microscopy : Basics , experimental design working principle , selected area diffraction .

Electrical characterization: Dielectrics, ferroelectrics, piezoelectrics and pyroelectrics. Basics of electric polarization and relaxation. Working of LCR meter and impedance analyzer and data interpretation. I-V and C-V characterization, resistivity measurement.

Magnetic characterization: Basics of magnetism, ac and de magnetic characterization techniques. Working principle and experimental design of vibrating samplemagnetometer and SQUID. Susceptibility measurement. Magnetic data interpretation

Experiments to study optical properties of materials: Basics of rotational, vibrational, infrared and Raman spectroscopy. Working principle and experimental design of UV-Vis spectrometer, Photo luminescence spectrometer, FTIR spectrometer and RamanSpectrometer and data analysis.Experiments to study thermal properties of materials: Basics of thermo gravimetric,differential thermal analysis and differential scanning calorimetry techniques. Workingprinciple,experimental design and data analysis

Recommended books1)B. D. Cullity and S.R. Stock, Elements of X-Ray Diffraction. 2) S.L. Flegler, J.W. Heckman Jr. and K.L. Klomparens, Scanning andTransmissionElectron Microscopy: An Introduction. 3) Carl C. Koch, Nanostructured Materials: Processing Properties and Applications.4) Rohit P. Prasankumar, Optical Techniquesfor Solid-State MaterialsCharacterization.5)Fiorilloand Isaak D. Mayergoyz.Characterization and Measurement ofMagnetiCMaterials.

Communication Electronics (3-1-0)

Communication Networks: Introductions Types of network, Network topologies, Networks protocols, Networks Architecture.

Review of Analog and Digital communications, Introduction to Amplitude, Frequency and phase Modulation and their frequency spectra.

Pulse communication: Information theory, Coding, Noise in an information carrying channel, Pulse modulation - Pulse Amplitude Modulation, Pulse Width Modulation, Pulse Position Modulation, Pulse Code Modulation.: concept of Time Division Multiplexing.

Optical Fibre communication: Principle and techniques of electro-optic modulation. Constituents of optical communication system, propagation of light in optical fibre.

Satellite communication: Introduction to microwave electronics, principle of velocity modulation, General structure of Satellite communication, Merits and drawbacks, Active and Passive satellites, Concept of digital modulation (Amplitude shift keying, Frequency shift keying, Phase shift keying), Digital satellite communication.

Recommendedbooks1. Fraser,Telecommunications.2. Gupta andKumar,HandbookofElectronics.3. SimonHaykin, Principles ofCommunication Systems, JohnWiley.4. GeorgeKennedyandBernardDavis,ElectronicsandCommunication System,TMH.5. RoddyandCoolen,Electronicscommunication.6. D.C.AgrawalandA.K.Maini,SatelliteCommunication.7. T.PrattandC.W.Bostiem,SatelliteCommunication8. G.E.Optical Fiber Communications, McGraw-Hili

Thin Film Technology (3-1-0)

Chemical Vapor deposition: Atmospheric pressure CVD, Low pressureCVD,Plasma enhanced chemical vapor deposition, Photo-enhanced chemical vapor deposition Laser induced CVD.

Physical vapor deposition: Thermal evaporation, Sputter technologies-DiodeESJ,utteringMagJlletrosnputtering-Ion beam (sputter) deposition, ion implantation and assisted deposition, Cathodic arc deposition, Pulsed laser deposition.

Epitaxy: Different kinds of epitaxy-Influence of substrate and substrate orientation, mismatch,Metal Organic Chemical Vapor Deposition, Combustion Chemical Vapor ue]poslticmAtomic Layer Deposition, Liquid phase epitaxy, Molecular Beam Epitaxy. Sol-gel synthesis: different types of coatings-Spin coating- Self-assembly-(Periodic)points for self-assembly-Directed self-assembly using conventional

lithography Template self-assembly-Vapor liquid solid growth-Langmuir-BlodgettFilms DNA self-assembly.

printing: Inkjet printing- Gravure printing and Flexographic printjeg- Flex printing- Gravure printing- Roll-to-Roll techniques.

Recommended books1. K.L.Chopra,ThinFilmTechnology2. Ohring,ThinFilmTechnology.3. GangMoogChow,NanostructuredFilms&Coatings.4. Brodsky,ThinFilmTechnology.5. G. Cao, Nanostructures&Nanomaterials:Synthesis, Properties&Applications,ImperialCollegePress,2004.6.T.S.Huck,NanoscaleAssembly:ChemicalTechniques(NanostructureScience andTechnology).7.HandbookofNano-science,EngineeringandTechnology,Kluwerpublishers,2002.

Opto Electronic and Fibre Optic Communication (3-1-0)

Revision of basics of reflection, refraction, transmission and absorption of light radiation, Ray tracking through mirrors, lenses, prisms, etc. Refractive index and total internal reflection.

~.Introduction of optical fiber (step index, graded index, single-mode and multimode light propagation in optical fibre, dispersion and losses in optical fibers, fiber manufacturing

Basicconstituents of optical communication system, Optical transmitters: LEDs and Laser diode - working principle and applications, Optical receivers: Photo-detectors, Optical amplifiers: WDM systems.

Introduction to electro-optics, Principle and technique of electro-optic modulation. "Introduction to liquid crystals, LED and Liquid Crystal Display.

Recommended Books 1. R.P.Khare,FibreOptiCSandOptoelectronics, OxfordPress.2. J.WilsonandJ.Hawkes,OptoelectronicsAnIntroduction, PrenticeHall.3. A.K.GhatakandK.Thyagarajan,IntroductionToFibreOptics,CambridgeUniv.Press.4. G.E.Keiser,OpticalFiberCommunications, McGraw-Hili.5. P.K.Chea,Fiber OptiCS,DevicesandSystems.

NANO-PHOTONICS

Unit I: Introduction: photons and electrons, their propagation, confinement, tunneling. Localization under a periodic potential: Band gap. Cooperative effect.Nanoscale optical interactions.Nanoscale confinement of electronic interactions, nanoscale electronic energy transfer.Cooperative emissions.

Unit II: Inorganic semiconductors, quantum wells, wired, dots and rings. Manifestation of quantum confinement. Quantum confined stark effect. Dielectric confinement effect, superlattices.Coreshell quantum dots and quantum dot quantum wells. Quantum confined structures as Lasing media. Organic Quantum confined structures.

Unit III: Basics Concepts of Photonic Crystals. Theoretical Modeling.Methods of Fabrication.Optical Circuitry.Nonlinear Photonic Crystals.Photonic Crystals and Optical Communications. Application to high efficiency emitters, miniaturized photonic circuits and dispersion engineering. Photonic Crystal Sensors.

Unit IV: Photonic crystal fiber, photonic band gap fibers ( PBG), band gap guiding, single mode and multi mode, dispersion engineering, nonlinearity engineering, devices using crystal fibers.

Unit V: Metallic nanoparticles, nanorods and nanoshells, local field enhancement. Collective modes in nanoparticle arrays, particle chains and arrays.sufaceplasmons, plasmon waveguides.Applications of Metallic Nanostructures.

Unit VI: Resonant cavity quantum well lasers and lightemitting diodes, Fundamentals of Cavity QED, strong and weak coupling regime, Purcell factor, Spontaneous emission control, Application of microcavities, including low threshold lasers, resonant cavity LED. Microcavity based single photon sources.

References:1. Nanophotonics, Paras N Ptrasad, John Wiley & Sons ( 2004)2. Photonic Crystals: Towards Nanoscale Photonic Devices; Jean Michel Lourtioz, Springer ;ISBN 354024431X3. Fundamentals of Photonic Crystal Fibers; Fredric Zolla Imperial College Press. ISBN18609450744. Photonic Crystals; John D Joannopoulos, Princeton University Press; ISBN 06910374425. Photonic Crystals: Modelling Flow of Light; John D Joannopoulos , R.D. Meade and J.N.Winn,Prenceton University Press ( 1995)6. The Handbook of Photonics ByMool Chand Gupta, John Ballato

SIX SEMESTER

Statistical Mechanics-I (4-0-0)

1st MODULE: Introduction to statistical mechanicsRandom walk, Brownian motionGeneral discussion of random walkStatistical description of system of particles: i. Idea of ensemble ii. Basic postulates and calculations iii. Idea of density of states

2ND MODULE: Statistical thermodynamicsThermodynamic laws and basic statistical relationsStatistical calculation of thermodynamic quantitiesMacroscopic parameters and their measurements and applications

3rd MODULE:Basic methods and results of statistical mechanicsIsolated systems, microcanonical ensemble.Calculation of thermodynamic quantitiesGibbs paradoxCanonical ensemble and applicationsGrand canonical ensemble and applications

4th MODULE:Simple applications of statistical mechanics:Partition function and their propertiesSpecific heats of solidsPara magnetismGeneral equilibrium conditions:System in contact with reservoir at constant temperature and pressureStability condition of a homogeneous substanceClausius- Clapeyron equation

5th MODULE: Quantum statistics of ideal gas:Identical particles and symmetry requirements, deviation from classical ideasMaxwell-Boltzmann statistics Bose-Einstein statisticsFermi-Dirac statisticsQuantum statistics in classical limitQuantum states of a single particle and corresponding partition functionBlack-body radiationConduction electrons in metals

Recommended Books

1) Fundamental of Statistical and Thermal Physicds by F. Reif2) Fundamental of Statistical and Thermal Physicds by K. Huang and J Wiley

Nuclear Physics (4-0-0)

Nuclear Structure and Basic nuclear propertiesMass, Charge, Nuclear size and shapes, nuclear spin, parity, nuclear angular momentum, nuclear magnetic moment, Packing fraction, mass defect and binding energy, binding energy of deuteron, variation of packing fraction with mass number, binding energies of nuclei (plot of B/A against A), nature of nuclear forces.Elementary Ideas of alpha, Beta and Gamma Decays-decay, Range of -particle, Geiger-Nuttal law and -particle-spectra, Gamow theory of -decay,-decay, -energy spectra and neutrino hypothesis, -decay, Origin of -rays, nuclear isomerism and internal conversionCompound nucleus and Nuclear ReactionsTypes of nuclear reactions and conservation laws, concept of compound and direct reactions, compound nucleus, Q-value of the nuclear reaction, nuclear cross-section, nuclear energy, nuclear fission, nuclear reactors, types of nuclear reactors, Breeder reactors, nuclear fusion, nuclear fusion in stars, nuclear fusion reactors Nuclear modelsYukawas Meson theory of nuclear forces and discovery of pion, Liquid drop model, Weizsachers semi-empirical mass-formula, Shell Model and magic numbers, Predictions of the Shell ModelDetectors for Nuclear ParticlesInteraction between particles and matter, photoelectric effect, Compton effect, pair production, ionization counter, Geiger-Muller counter, scintillation counter, solid state or semiconductor detectors, Compton suppressed germanium detectors, Cloud and Bubble chambers, Spark chambersBrief introductions of Particle AcceleratorsVan de Graff Generator, Linear Accelerator, Cyclotron, Synchrotron, BetatronBooks Recommended1) Concepts of nuclear physics by Bernard L. Cohen (New Delhi: Tata McGraw Hill, 1998).2) Concept of Modern Physics by Arthur Beiser (McGraw-Hill Book Company, 1987)1) Nuclear Physics by R. R. Roy and B.P. Nigam2) Nuclear Physics-An Introduction by S. B. Patel3) Nuclear Physics by D.C. Tayal4) Introductory Nuclear Physics by P.E. Hodgson

Electricity and magnetism-ii (4-0-0)

Electrostatics: Mechanical stress on unit area of a charged conductor application to electrified soap bubble Potential energy stored in unit volume of a medium surrounding a charged body.Capacitor : Capacitance of a capacitor Spherical and cylindrical capacitors energy of a charged capacitor Loss of energy due to sharing of charges force of a attraction between the plates of a charged capacitor quadrant electrometer Measurement of potential, ionization current and dielectric constant.

Magnetostatics:Magnetic shell potential due to magnetic shell field due to magnetic shell equivalent of electric circuit and magnetic shell Magnetic induction (B) and field (H) permeability and susceptibility Hysteresis loop.Thermo electricity:Carey Fosters Bridge Peltier coefficient and Thomson coefficient Application of thermodynamics to thermocouple thermoelectric power Thermoelectric diagrams and uses.Moving charge in electric and magnetic fieldHall effect, cyclotron, synchrocyclotron and synchrotron force on a current carrying conductor placed in a magnetic field, force and torque on a current loop. Electromagnetic inductionExpression for induced emf time varying magnetic fields Betatron Ballistic galvanometer theory damping correction self and mutual inductance, coefficient of coupling, calculation of self inductance of a long solenoid toroid energy stored in magnetic field. Induction coil and its uses.Elementary theory of flux meter and deadbeat galvanometer.

Aspects of D.C. circuits:Growth and decay of currents in LR, CR and in L-C-R circuits, Growth and decay of charge in a capacitance resistance circuit Determination of high resistance by leakage Growth and decay of charge in a LCR circuit Conditions for the discharge to be oscillatory Frequency of oscillation. Critical damping, Oscillatory discharge, time constant, energy stored in an inductance.

Alternating current:L-C-R circuits in sinusoidal e.m.f, application of imaginary operator, phase diagram, Power in A.C cicuits, power factor, resonance in series and parallel circuits, RMS, average value of current and emf power in AC circuits power factor in LR and CR circuits AC and DC Motors. Q-factor, filter selectivity, elementary theory of transformer-- Construction, working, energy losses and efficiency, Types of windings series, parallel and compound windings transformers Three phase, delta and star connections choke skin effect. A.C. bridge-principle of generalized A.C. bridge, Anderson bridge, theory of rotating magnetic field-induction motor. References:1. Introduction to classical electrodynamics - Griffiths.1. Classical electrodynamics Third Edition -John David Jackson1. Electricity and Magnetism - Edward M. Purcell Berkeley Physics Course, Vol. 21. Electricity and Magnetism C.J.Smith. Edward Arnold Ltd.1. Elements of Electromagnetics-M. N. O. Sadiku, 5th Edn, Oxford Univ. Press, 2010.1. Electricity and Magnetism- KK Tewari1. Sehgal, Chopra and Sehgal Elecricity and Magnetism1. Duggal and Chabbra Electricity and Magnetism 1. Z. Popovic, B.D. Popovic, Introductory Electromagnetics, Printice Hall, 1999.

Atomic and molecular Physics-I (4-0-0)Unit I: Atomic structure Rutherford model of atom and its drawbacks, Bohr atom model, Electron orbits, Energy levels and spectra, Effect of nuclear motion on atomic spectra, Spectra of hydrogen-like atoms, Bohrs correspondence principle, RitzcombinationprincipleUnit II: Atoms in Electric and Magnetic FieldsElectron Angular Momentum.Space Quantization, Electron Spin and Spin Angular Momentum.Larmors Theorem. Spin Magnetic Moment, Stern-Gerlach Experiment. Zeeman Effect: Electron Magnetic Moment and Magnetic Energy, Gyromagnetic Ratio and Bohr Magneton. Atoms in External Electric and Magnetic Fields (Qualitative Discussion only): Normal and Anomalous Zeeman Effect, Paschen Back and Stark Effect.Unit III: Many electron atomsPaulis Exclusion Principle, Periodic table, Fine structure, Spin orbit coupling, Spectral Notations for Atomic States, Total Angular Momentum, Vector Model, L-S and J-J couplings, Hunds Rule, Term Symbols, Spectra of Alkali Atoms, Clebsch-Gordon coefficientsUnit IV: Molecular SpectraIntroduction, Theory of the origin of pure rotational spectra of a diatomic molecule, Raman Effect, Experimental study, Characteristics of Raman Lines, Quantum theory of Raman Effect

Books Recommended: 1. Concepts of Modern Physics 4thedition Arthur Baiser (Mc-Graw Hill International edition) 2. Introduction to Atomic spectra H. E. White (Mc-Graw Hill International edition) 3. Fundamentals of Molecular spectroscopy C.N.Banwell and E.M.McCash (Mc-Graw Hill International edition) 4. Atomic PhysicsJ. B. Rajam (S.Chand& Co.)5. Physics of Atoms and Molecules Bransden and Joachein6.

Quantum Mechanics-I

Syllabus Under Preparation

Applied Physics Lab-VI

Under Preparation

SEVEN SEMESTER

Quantum Mechanics-II (4-0-0)

Module I: Basic formulation of quantum mechanicsPostulates of quantum mechanics, formulation of quantum mechanics in terms of bracket notation, Schrodinger picture and Heisenberg picture, Heisenberg equation of motion, matrix formulation of harmonic oscillatorModule II: Three dimensional problemsSpherically symmetric potential, parity, angular momentum, hydrogen atom energy levels, degeneracyModule III: Angular momentum, identical particles and spinThe principle of indstinguishability of identical particles, spin, Pauli exclusion principle, Paulis spin operators, angular momentum, various commutation relations, eigen values and eigen functions of angular momentum, addition of angular momentum, Clebsch-Gordon (Wigner) coefficients Module IV: Approximate methodsStationary perturbation theory, first and second order perturbation, Zeeman effect, first order Stark effect, variation method application to simple harmonic oscillator and helium atom, van der Waals interaction, time-dependent perturbation theory, interaction picture, Fermis golden ruleModule V: Scattering theory and WKB approximation methodScattering cross section and coefficients, scattering by spherically symmetric potentials, scattering by a coulomb field, Born approximation, WKB approximation, boundary conditions in the quasi-classical state1) Quantum Mechanics- L. I. Schiff2) A text book of Quantum Mechanics - P. M. Mathews and K. Venkatesan3) Quantum Mechanics - A. Messiah4) Quantum Mechanics C .Cohen- Tanondji

Classical Mechanics-II (4-0-0)

Constrained Motion: Constraints, Classification of Constraints, Principal of Virtual Work, DAlemberts principal and its applications(3)Lagrangian formulation: Generalized coordinates, Langranges equations of motion, properties of kinetic energy function, theorem on total energy, generalized momenta, cyclic-coordinates, integrals of motion, Jacobi integrals and energy conservation, Concept of symmetry, invariance under Galilean transformation, velocity dependent potential. (8)Hamiltons formulation: Hamiltons function and Hamiltons equation of motion, configuration space, phase space and state space, Lagrangian and Hamiltonian of relativistic particles and light rays. (5)Canonical Transformations: Generating function, Conditions for canonical transformation and problem. (5)Poisson Brackets: Definition, Identities, Poisson theorem, Jacobi-Poisson theorem, Jacobi identity, (statement only), invariance of PB under canonical transformation. (4)Motion Under Central Force: Two Body Problem Equivalent one body problem General features of central force motion Equivalent one dimensional problem-general features of the orbits Stability of orbits and conditions for closure Motion under inverse square law-Kepler problem Virial theorem Mechanics of Small Oscillations Stable and unstable Equilibrium Two coupled oscillators Formulation of the problem; Lagrange's equations of motion for small oscillations Normal co-ordinates and normal frequencies of vibration, Systems with few degrees of freedom, Parallel Pendula, Double pendulum, Triple pendulum, Free vibrations of linear tri-atomic molecule,(5)Special Relativity in Classical Mechanics Basic postulates of special relativity Lorentz transformation Relativistic generalization of Newton's lawLagrangian formulation of relativistic mechanics Hamiltonian formulation of relativistic mechanics A covariant Lagrangian and Hamiltonian formulation(5)Text Books: Classical Mechanics by N.C.Rana and P.S.Joag, Tata Mc-Graw Hill Publishing Company Limited, New Delhi.Classical Mechanics by Gupta, Kumar Sharma, Pragati EditionReferences:1. Classical Mechanics by H.Goldstein, Pearson Education Asia.2. Classical Dynamics of Particles and Systems by Marion and Thomtron, Third Edition, Horoloma Book Jovanovich College Publisher.3. Classical Mechanics by P.V.Panat, Narosa Publishing Home,, New Delhi.4. Introduction to Classical Mechanics by R.G.Takawale and P.S.Puranik, Tata Mc-Graw Hill Publishing Company Limited, New Delhi.

Classical Electrodynamics (4-0-0)

Unit-I: Conservation of charge and energy, Equation of continuity, Poyntings theorem, Newtons 3rd law in electrodynamics, Maxwells stress tensor, Conservation of linear momentum and angular momentum.Wave equations for electromagnetic field and its solutions- plane wave and spherical wave solutions, Electromagnetic waves in vacuum, Energy and Momentum in electromagnetic waves, Electromagnetic waves in matter, Propagation in linear media, Reflection and Transmission at normal incidence and oblique incidence, Electromagnetic waves in conductors, Reflection at conducting surface, polarization on reflection and Brewsters law, total Internal reflection, Frequency dependence of permittivity (Dispersion details).

Unit-II: Wave guides, TE waves in a Rectangular wave guide, coaxial transmission line, Scattering of radiation by a bound charge, Rayleigh scattering, Blue of sky.

Unit-III Potentials and Fields: Scalar and vector potentials, Gauge transformations, Coulomb gauge and Lorentz gauge, Retarded potentials, Lienard-Wiechart potentials, Fields of a moving point charge.

Unit-IV: Radiation: Electric dipole radiation, magnetic dipole radiation, Radiation from an arbitrary source, Power radiated by point charge, Radiation reaction, Radiation damping, Physical basis of Radiation reaction, Cherenkov radiation.

Unit-V: Relativistic Electrodynamics: Geometry of relativity, Lorentz transformations, Structure of space-time, Proper time and velocity, Relativistic energy and momentum, Magnetism as a relativistic phenomenon. Transformation of differential operators, Invariance of DAlembertian operator, Invariance of charge, Transformation of charge density and current density, Field transform, Field tensor, Maxwells equations in covariance four tensor form, Lorentz transformations of electric and magnetic fields, Electromagnetic field due to moving charge.

References:11. Introduction to classical electrodynamics - Griffiths.12. Classical electrodynamics Third Edition -John David Jackson13. Electricity and Magnetism - Edward M. Purcell Berkeley Physics Course, Vol. 214. Electricity and Magnetism C.J.Smith. Edward Arnold Ltd.15. Elements of Electromagnetics-M. N. O. Sadiku, 5th Edn, Oxford Univ. Press, 2010.16. Electricity and Magnetism- KK Tewari17. Sehgal, Chopra and Sehgal Elecricity and Magnetism18. Duggal and Chabbra Electricity and Magnetism 19. Z. Popovic, B.D. Popovic, Introductory Electromagnetics, Printice Hall, 1999.

PLASMA PHYSICS AND LASER (4-0-0)Excitation and Ionization in a Gas: Ionization by collision; Townsends theory of collision ionization; the breakdown potential; photoionisation; thermal ionization and excitation; Application of ionization formula, Plasma production by Laser, Recombination.Fundamental Concepts about Plasma: Kinetic pressure in a partially ionized gas; Mean free path and collision cross section; Mobility of charged particles ; Effects of magnetic field on the mobility of ions; Dielectric constant of plasma; Effect of magnetic field; Quasineutrality of plasma; Debye shielding distance; optical properties of plasma; Magnetic susceptibility of plasma.Motion of charged particles in electric and Magnetic field: Particle description of plasma; Motion of charged particle in an electrostatic field; Motion of charged particle in uniform magnetic field; Motion of charged particles in inhomogeneous magnetic field.Radiation Plasma and Plasma Oscillations and waves:Radiation emitted by excited atoms and ions; Bremsstrahlung radition; Cyclotron or Betatron emission; Derivation of Plasma oscillations by utilizing Maxwells equation; Ion oscillations and waves in a magnetic field.Plasma Diagnostic Techniques: Single probe method ; Double probe method; Use of probe technique for measurement of plasma parameters in magnetic field; Microwave method; Spectroscopic method; Laser as a tool for plasma diagnostics, X-ray diagnostics of plasma; Acoustic method.Properties of fully Ionized Plasma: Dynamics of collision between two charged particles; Conductivity of fully ionized plasma.Basic Laser System:Basic concept of construction of laser system, various pumping system, pumping cavities for solid state laser system, characteristics of host materials and doped ionsResonators: Modes of a Rectangular Cavity and the Open Planar Resonator, The Quality Factor, Transverse and Longitudinal mode Selection, Q-switching, Mode Locking in Lasers, Confocal Resonator system, Planar Resonators, General Spherical Resonator.

Books Recommended: 1. Principles of lasers- O Svelto2. Quantum Electronics- A Yariv3. The Physics and Technology of Laser Resonator- D R Hall & P E Jackson 4. Introduction to optical electronics- K A Jones 5. Basic principles

Course Revised DSingh

Documents

Transcript of Course Revised DSingh