National Institute of Physicsthe

UNIVERSITY OF THE PHILIPPINES DILIMAN

The National Institute of Physics traces its roots from the Department of Physics of the College of Arts and Sciences of the University of the Philippines in Diliman.

The NIP is the leading center of physics education and research in the Philippines.

In 1983, Philippine President issued Executive Order 889 establishing the Institute to further stregthen and broaden the national capability to train scientific leaders and conduct reseach in the basic sciences.

The NIP started operation on 26 May 1983.

In 1985, the Board of Regents of the University of the Philippines instructed the NIP to serve as the national center of excellence for the advancement, dissemination, and application of knowledge in physics.

The Commission on Higher Education continues to confer the NIP the Center of Excellence in physics in recognition of its status as the premier institute for tertiary and postgraduate physics education in the Philippines.

The NIP transferred to its new address at theNational Science Complex from its former h.ome,the Llamas Science Hall, Palma Hall Pavillion 3 in

2005.

EDUCATION

T he National Institute of Physics takes pride for training the most number of active reseachers in physics in the Philippines, both in the academe and at the industry.

The institute has the largest number of undergraduate physics and applied physics majors, and the most number of graduate physics students in the country.

Our graduates have found themselves in diverse careers such as in banking and finance, law, in energy development, as software engineers, and as product engineers to name a few. This is on top of those who pursue the academic and the academic research track.

Beyond training future physicists, the institute also molds future scientists and engineers. The institute accomodates almost 4000 students per semester in its fundamental physics courses.

In 2002, the institute opened a general education course for nonscience majors. This course has a unique syllabus in that a good third of it is devoted to presenting the various research of the institute, in the hopes that future leaders will know that good science is also happening in the country.

Prof. Jose Perico Esguerra is a recognized physics educator in the country.Photo courtesy of Pipo, QC Info Office.

PROGRAM OFFERING

Students are trained in the rigors of physics.Photo courtesy of Pipo, QC Info Office.

NIP students think and tinker to gain a deeper understanding of the universe.

.

B.S. in Physics ProgramThe five-year program leading to the degree of Bachelor of Science in Physics aims to provide students with a comprehensive, thorough, and rigorous training in physics as a solid preparation for further advanced studies in physics at the graduate level, and a general education in the humanities, social sciences, and other natural sciences that will enable them to become broadly educated and socially conscious physicists In their fifth year, students are required to submit a thesis in order to expose them to actual physics research. This program is specifically designed for students who intend to pursue professional research and/or teaching careers in physics.

B.S. in Applied Physics ProgramThe five-year program leading to the degree of Bachelor of Science in Applied Physics has two areas of concetration -- Instrumentation and Materials Science. This aims to provide the students with a broad and adequate training in physics as a foundation for careers in applied or interdisciplinary sciences like electronics, computing, biophysics, superconductivity, thin film processes, liquid crystals, geophyiscs, and physics chemistry. In their fifth year, students are also required to submit a thesis. General education in the humanities, social sciences, and natural sciences for a broader educational base and social consciousness are likewise stressed and developed.

UNDERGRADUATE PROGRAMS

GRADUATE PROGRAMSDoctor of Philosphy in Physics ProgramThe program leading to the degree of Doctor of Philosophy in Physics aims to provide the students with an advanced graduate training in physics that will fully prepare them for scientific careers as top level physicists in academic and/or research institutions. This program is specifically designed to enable students to gain a deep and thorough knowledge of at least one specialized area of physics, to obtain a broad knowledge of several other major areas of contemporary physics, and to acquire the competence to undertake original and independent research in experimental or theoretical physics.

Master of Science in Physics ProgramThe program leading to the degree of Master of Science in Physics aims to provide students with an adequate graduate training in Physics that will prepare them for scientific careers as medium-level physicists in academic and/or research institutions. The M.S. degree may be obtained through the thesis option or the non-thesis option, which includes a written comprehensive examination.

Master of Arts in Physics ProgramThe two-year program leading to the degree of Master of Arts, Major in Physics, aims to upgrade the student's competence in teaching college physics. This program is specifically designed for college physics teachers who do not possess a B.S. in Physics degree.

Material Science Engineering ProgramThe NIP is also an implementing agency of the Materials Science and Engineering program leading to a degree of M.S. and Ph.D. in Materials Science.

The NIP produced the most number of PhD and MS in Physics graduates in the country.

60PhD Physics(2000-2015)

Academic scientist (Faculty with research projects/programs): Universities here and abroad | Non-academic research scientistinstructors/teacher with emphasis on teaching/instruction).| Engineers, Manufacturing Sector (Logistical and Supply chains, support, Information and Communications Sector (Telecom, Database management, Java developers, Apps and Content devefinancial institutions, Outsourced processes) | Management, Startups, Entrepreneurs (CEO, CTO, Proprietor) | Professionals: Law

479BS Physics/BS Applied Physics

(1999-2015)

226MS/MA Physics(2000-2015)

OUR GRADUATES HAVE PURSUED CAREERS as

: Government institutes, private, independent | Ongoing graduate students, research assistants/associates | Education (Faculty/Process engineers, Failure engineers) | Engineers and Technical experts, Energy Sector | Software development and technical

elopment, User interface developers, Search Engine Optimization) |. Financial and Data Analysts, Services sector (Banking and , Medicine

2012-present

2008-2012

2004-2008

2000-2004

45

81

60

37

2014-present

2011-2014

2008-2011

2005-2008

2002-2005

1999-2002

BS APPLIED PHYSICS (MATERIALS & INSTRUMENTATION PHYSICS) BS PHYSICS

11

36

30

25

64

70

50 49

40 56

38 9

BS PHYSICS/APPLIED PHYSICS GRADUATES

MS PHYSICS GRADUATES

2012-present

2008-2012

2004-2008

2000-2004

PHD PHYSICS GRADUATES17

15

19

9

A majority of students from other colleges who took their fundamental physics courses at NIP have been leaders and movers in their respective fields.

PHYSICS FOR SCIENTISTS AND ENGINEERS

Science majors*

Engineering majors*

Non science and engineering majors*

64%

23%

13%

The fundamental physics courses is the institute's primary vehicle to guide future leading scientists and engineers. Students are molded to think like a physicist and initiated to the natural world as physicists would see it.

Students gain a deeper appreciation of physics after taking Physics 71, Physics 72 and Physics 31 and their corresponding laboratory courses.

The institute teaches almost 4,000 undergradutes in a semester.

.

*estimate per semester, +/- 10%.

The General Physics Courses:

Physics 71 – ELEMENTARY PHYSICS IPhysics 71.1. ELEMENTARY PHYSICS I LABORATORY[Mechanics of particles, rigid bodies, and fluids]

Physics 72 – ELEMENTARY PHYSICS IIPhysics 72.1. ELEMENTARY PHYSICS II LABORATORY[Electricity and magnetism, wave phenomena, and optics]

Physics 73 – ELEMENTARY PHYSICS IIIPhysics 73.1. ELEMENTARY PHYSICS III LABORATORY[Thermal physics, relativity, and quantum physics]

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PHYSICS 10: Physics and Astronomy for Pedestrians

Physics 10: Physics and Astronomy for the Pedestrians is the general education (GE) course offered by theinstitute. A GE course is part of the liberaleducation program of the University that aims to equip students a balanced understanding of the humanaffairs and mankind’s relation to the universe.

Physics 10 aims to provide a deep appreciation of the astronomy and physics development and their role inthe historical and philosophical development of the sciences today.

The course raises awareness amongfuture citizens and leaders on how physics and the sciences could lead to innovation and research that helpimprove the life of the society and aid human interaction in the future.

.

It aims to train future scientificcitizens with better mindset in understanding the relationship of scientific inquiry which requires reliable data and intellectual reasoning and their impact in society.

Dubbed “walk-through course” for people who enjoy physics and astronomy but want to be spared of thetedious details, it covers the beginnings of the philosophy of nature in Europe to the Copernican andNewtonian revolutions up to the revolutions brought about by the Quantum and Relativity theories in the1900s.

The end of the course is capped by talks on special topics exposing the audience to the latestresearch work in different fields in Physics. This updates the student what is latest development in physicsand astronomy.

Physics, in particular and science, in general, is a human endeavor with a goal of fully understanding the universe and the role of the human race in its history. It is naturally interdisciplinary involving interaction with local and international culture & religion, socio-political events, technological advances and economics.

The universe is always a source of wonder. Water rocket demonstration in Physics 10.

RESEARCH

The National Institute of Physics searches for the frontiers of science to create new knowledge or to develop tools to further innovation. It also contributes significantly in finding solutions to local problems that are also global concerns.

What started as 3 research laboratories, the institute now hosts 5 research laboratories from theoretical physics to computational physics, from optics and plasma physics to condensed matter and complexity science. Each laboratories has their own niche in the local as well as global scientific community.

The institute has developed into an accomplished research institute by investing heavily on man-power development and equipment acquisition and upgrades.

The institute aims to exert its scientific influence in the Asia-Pacific region.

Flux pinning in a superconducting CuO crystal.Image courtesy of the Superconductor Group of the

Condensed Matter Research Laboratory.

SCIENTIFIC OUTPUT1983-2015*

*as indexed in scopus.com.

InternationalConference Proceedings

Articles in Scientific Journals

Patents, Books and book chapters, Notes

Research outputs have increased from 1 in 2 years to

37 per year since 1983.

81%

17%

2%

2013 - 2015

2008 - 2012

2003 - 2007

1998 - 2002

1993 - 1997

1988 -1992

1983 -1987 100 th

publication mark

The institute's research undertakings have been far-reaching and diverse.

*fields may overlap, as indexed in scopus.com.

Chemistry

Agricultural

and Biological

Sciences

Earth and

Planetary

Sciences

Environmental

Science

Chemical

Engineering

Social Sciences Energy

Econometrics,

Economics, and Finance

Health

Professions

Business, Management,

and Accounting

Medicine

Biochemistry, Genetics

and Molecular Biology

Physics and Astronomy

Mathematics

Engineering

Material

Science

Multidisciplinary

Decision

Sciences

Computer

Science

384 publications

8928

8

THE INSTITUTE'S SIGNIFICANT

Microscope.Instrumentation Physics Laboratory.

Path integral quantization of certain noncentral systems with dynamic symmetries [J. Math.l Phys. 32 17991807(1991)]. Solutions to noncentral potentials are important in quantum physics and chemistry. This research becomes even more relevant as new more complex materials are synthesized, or as scattering phenomena have gone beyond symmetric scatterers.

Automatic counting of living and nonliiving sea components [Environ. Monitoring and Assessment 145, 177184(2008)]. The study makes use of sub seasurface videos to determine dead or living coral reefs.

Image Compression with low data loss for video and imaging applications [Appl. Opt. 38, 37353744(1999)]. Researchers at the institute developed an algorithm to compress microscope images and videos.

Avalanche studies in granular mounds [Geophys. Res. Lett. 35, L19403 (2008)]. Avalanche statistics of rain and vibration driven granular slides in miniature sand mounds are characterized in this study. This has implication on research on the hazards of landslides.

Crowd panic research [Proc. Natl. Acad. Sci. 100, 11947–11952 (2003)]. Researchers from the institute show that mice form a queue and make a relatively orderly escape when the exits are narrower compared to the sporadic and inefficient manner they escape when the doors are wider. This has a lot of implications on making policy on how to control crowd in panic.

Seating arrangement in classroom learning and neuralnetworks [Complexity 14, 2633 (2009)]. Researchers develop a method that provides a quantifiable procedure for arranging studentsf for better student–student interactions during a lecture.

Circuit defects imaging and defect localization [Applied Optics 42, 65206524 (2003), Applied Optics 44, 73027306 (2005), Optics and Photonics News 17(12), 30 (2006), Optics Express 14, 10211026 (2006), Applied Physics Letters 89, 151113 (2006), Applied Optics 46(31), 76257651 (2007)]. This study is important in knowing defects in IC’s and in metal-semiconductor hybrid materials.

Two-color excitation microscopy [Applied Optics 40, 27222729 (2001), Opt. Commun. 207, 111120 (2002), Opt. Commun. 246, 117122 (2005)]. Researchers at the institute develop and show that microscopic imaging can be improved by utilizing two photons in fluorescing objects.

Interaction of optical vortices on free propagation [Opt. Commun. 271, 178-183 (2007), Opt. Commun. 356 (2015): 236-242]. Researchers at the institute study the movement of optical vortices due to neighboring optical vortices. Vortices can be found in most systems in nature.

SCIENTIFIC CONTRIBUTIONS

A plasma glow discharge.Photo courtesy of Pipo, QC Info Office.

Arrival time in quantum mechanics. [Proc. Roy. Soc A 458, 451-472, Proc. Roy. Soc. A 487, 2671 (2002), Phys. Rev. Lett. 93, 180406 (2004)] The arrival time of a particle was established as a quantum observable represented by a self-adjoint operator canonically conjugate with the Hamiltonian, its eigenfunctions evolve such that it collapses at the origin at an instant of time equal to its corresponding eigenvalue.

Synthesis and growth of High Tc Superconductors [Physica C 539, 341348 (2000), Ceramics Intern. 30, 1611 (2004), Jpn. J. Appl. Phys. 34, 488 (1995)]. Researchers at the institute continually search and understand new methods and materials that exhibit High Tc superconductivity.

Forecasting of public opinion [Intern. J. Public Opinion Res. 14222229 (2002), J. Forecasting 21(6), 435449 (2002)].This work provides insight into the dynamics of public opinion elucidating possible means of forecasting probable outcomes.

Optimization and enhancement of H ion production in a magnetized sheet plasma source and its various uses [Rev. Sci. Instrum. 71, 3689 (2000), Nuclear Instrum. Methods B 266, 26272637 (2008), Nuclear Instrum. Methods B 266 49874993,(2008)].

Low energy hydrogen ion showers to induce surface modification on wood to decrease flammability. [Nuclear Instrum. Methods B 259, 875883 (2007), Jpn J. Appl. Phys. 45, 8498 (2006)].

Thin film deposition using plasma sources and its applications in coating technology [Vacuum 65, 397402(2002), Vacuum 73, 549(2004), Thin Solid Films 613, 506507(2006)]

Biological aging models using bit strings [Physica A 390, 1295 (2011); Theory Biosci. 130, 101 (2011)]. A population dynamics model without a carrying capacity is proposed within the framework of a bit string model.

Thermodynamics of 2D electron gases with spin-orbit coupling [Solid State Commun. 156, 16 (2013), 152, 757 (2012); Eur. Phys. J. B 85, 22 (2012); J. Low Temp. Phys. 163, 43 (2011)]. The thermodynamic properties of electrons at planar interfaces oscillate as the strength of an external magnetic field is increased.

Spin polarization and inversion in nanowires [Physica E 63, 93 (2014), --- plus one in press ---]. Modifying the curvature of wires that carry a spin current can change the polarization of the outgoing current from a spin-up majority to a spin-down majority.

Bipartite entanglement and subsystem fluctuations [Eur. J. Phys. 36, 055051 (2015); Phys. Rev. B 90, 155123 (2014)]. Entanglement in bipartite pure states can be quantified via fluctuation measurements.

Signatures of quantum criticality in quenched spin chains [Phys. Rev. E 92, 032142 (2015)]. Statistical measures of work done are not differentiable at quantum critical points.

CARAGA

1%

NATIONAL CAPITAL REGION

33%

CALABARZONCENTRAL LUZON

CAGAYAN VALLEY

ILOCOS

CORDILLERA AR

MIMAROPA

BICOL

WESTERN VISAYAS

CENTRAL VISAYAS

EASTERN VISAYAS

9%

5%

8%

18%

2

2

4

33

4

ZAMBOANGA

3

NORTHERN MINDANAO

2DAVAO

1SOCCSKSARGEN

1

NEGROS ISLAND

1

%

%%

%

%

%

%%

%

%

%ARMM

<1%

The NIP's researchers and researchers-in-training come from all parts of the country.

*based on AY 2014-2015 laboratory membership data

THE RESEARCH LABORATORIES

INTRUMENTATION PHYSICS LABORATORY

Coral health survey via video analysis.

The group provides an atmosphere of collaboration and learning for teachers and students to build and promotea good scientific tradition in the Philippines.

SENIOR MEMBERS: Johnrob Bantang | Rene Batac | May T. Lim | Caesar Saloma Maricor Soriano | Giovanni Tapang

The Instrumentation Physics Laboratory (Instru) is one of the three laboratories established together with the Institute as approved by the University’s Board of Regents on 26 May 1983.

Instru retained its original name "instrumentation" as it has always provided reliable extensions of senses and consistent interface between sense-data and the human intellect. Instru has gone a long way since it producing its first PhD graduate in 1993.

Today, Instru is busy with many fields in Physics, both basic and applied ranging from the fields of opticsand photonics, video and image processing to the most complex systems of the Universe: the humansociety and culture.

While Instru research now typically employ mathematical and computational modeling, a balance is aimedin doing table-top and in-situ experiments to address real-world problems of fundamental andpracticalinteractions in biological systems.

New methods in optical imaging are continuously being developed in Instru with the aim of always breakingthe theoretical resolution of the best microscopes, telescopes and other image acquisition devices availablein the market. These methods often involve both instrumentation and computational algorithms that improve data resolution and is often accompanied by automation of data capture and post processing such asintelligent classification.

Being a "signal-processing" laboratory, Instru is very interested in doing science based on systems withvery rich empirical data. Instru has been actively involved in data mining social media, socio-ecologicalsystems, socio-technical systems (e.g. vehicular traffic, crowd dynamics) and exploits the best physicsanalogy in analyzing the most viable modeling tools such as complex networks, cellular automata and otheragent-based methods.

Research results done in Instru have found many practical applications ranging from the understanding ofthe fundamental properties of escaping agents in the state of panic, to illucidating the physical basis ofearthquake and landslides, to evaluation of reef scars and development, to many applications of optics andphotonics. Others have found applications to understanding techno-social and biological dynamics andapplication to education, marine sciences, astronomy, arts, medicine and even sports.

Students and graduates of the IPL as of 2015..

WEBSITE: www.nip.upd.edu.ph/ipl

CONDENSED MATTER PHYSICS LABORATORY

We synthesize and study novel materials with unusual properties and diverse application, such as cuprate superconductors, and InP and GaAs semiconductors.

SENIOR MEMBERS: Elmer Estacio | Arnel Salvador Roland V. Sarmago | Armando Somintac

WEBSITE: www.nip.upd.edu.ph/Supercon | www.nip.upd.edu.ph/cmpl_semicon

Zero resistance and perfect diamagnetism make superconductors the technological materials for lossless energy transmission and storage. Not so long ago, these materials were not in widespread use due to the high operating costs at very low temperatures. With the advent of High Temperature Superconductors (HTS),applications become commercially viable. In order for HTS to continue to be applicable, they must remain resistanceless and perfectly diamagnetic at very large currents and magnetic fields.

While the new materials are legitimate superconductors, magnetic flux flow is observed in them which causes resistance, and hence electrical transmission losses appear. The larger the flow the more is the losses. The group believe that the flow of magnetic flux can be arrested so that the new superconductors can be commercially viable in the near future.

The Superconductor group is working towards the understanding of the pinning dynamics of magnetic flux in HTC's through atomic and magnetic doping in the crystal structure.

The Condensed Matter Physics Lab has two main areas of interest - Superconductors and Semiconductors.

GaAs and InP based quantum wells, quantum wires and quantum dots are novel semiconductor materials having diverse physical properties. These properties can be exploited for use as optoelectronic devices such as lasers and photodetectors suited either for local area network or long haul optical communication.

In order to study material properties, careful controlled materials synthesis and precise sophisticated measurements are conducted. The Semiconductor group embarks on epitaxial growth of III-V semiconductor thin films, including heterostructures and nanostructures, growth of other nanomaterials such as silicon and metal oxide nanostructures, development and fabrication of optoelectronic devices such as sensors, emitters and other GaAs-based devices.

Recently, the Semiconductor Group has also established facilities for solar cell fabrication and characterization, and Ultrafast and terahertz spectroscopy.

At the clean room of the Condensed Matter Physkc Laboratory.Photo courtesy of Pipo, QC Info Office.

PHOTONICS RESEARCH LABORATORY

Light is used to generate more light..Photo courtesy of Pipo, QC Info Office.

At the Photonics Research Laboratory, light is generated,

manipulated, and detected not only for its various applications

but to have a deeper appreciation of nature.

SENIOR MEMBERS: Percival Almoro | Wilson Garcia | Nathaniel Hermosa II

The Photonics Research Laboratory having been one of the first research laboratories established in 1983, is as old as the National Institute of Physics . The laboratory is founded as the Laser Physics Laboratory.

Initially established to serve as the national center for research, development and advanced manpower training in the areas of laser and laser applications, the Laser Physics Laboratory has expanded its research area to nonlinear optics, holography, and information storage and communication by the late 1990’s while keeping its laser systems and applications research core.

In December 1999, the Laser Physics Laboratory is renamed Photonics Research Laboratory to reflect its expanding areas of research.

Currently, there are 3 clusters in the group – the Coherent metrology cluster, the Laser system and applications cluster, and the Structured light cluster.

Research Areas (include but not limited to)

Coherent measurement techniques | Goos-Hanchen and Imbert-Fedorov shifts| Higher-order transverse modes of light | Holography |LASER | Laser-induced plasma | Nonlinear optics | Orbital Angular Momentum of Light| Phase retrieval | Photonic devices | Pulsed laser deposition of various metals, semiconductors, and doped glasses | Spatial mode projection| Speckle methods | Statistical fringe processing | Spectroscopy

Coherent light for high precision metrology.

WEBSITE: www.photonics.nip.upd.edu.ph

STRUCTURE AND DYNAMICS GROUP

Structure and dynamics group

SanD research is aimed at a better understanding of the complex relationship between the microscopic structure of matter and its emergent macroscopic behavior, which is necessary for the development of new materials and technologies.

SENIOR MEMBERS: Roland Banzon | Francis Paraan | Cristine VillagonzaloWEBSITE: www.nip.upd.edu.ph/sand

Established in 2003, the Structure and Dynamics (SanD) Group performs theoretical and computational studies of solid state and condensed matter systems.

To accomplish computationally intensive numerical tasks, SanD rese use a custom-built computing cluster of CPUs and GPUs with parallelization capabilities.

Computational Physics

The Computational Physics cluster of SanD uses a custom-built computing facility that consists of networked CPUs and GPUs to perform numerical tasks for scientific and engineering applications. Members of this cluster perform Monte Carlo sampling of large configuration spaces, classical simulations of quantum algorithms, ab initio studies of novel materials, molecular and fluid dynamics, and finite element analysis.

Theoretical solid state physics

Advances in materials science have led to the fabrication of controllable low-dimensional devices such as nanowires, two-dimensional electron systems, and heterostructures. The Theoretical Solid State Physics cluster of SanD uses a combination of theoretical and numerical techniques to determine how changing external parameters and bulk structural properties (such as crystal symmetry) affects the thermodynamical and transport properties of these devices.

Quantum Statistics and Critical Phenomena

Measurements on many-body systems are generally correlated and display fluctuations caused by interactions between its components. When the strength of these interactions are tuned across critical values, non-analyticities in these fluctuations can trigger phase transitions even in the absence of thermal effects. Members of the Quantum Statistics and Critical Phenomena cluster of SanD investigate how the macroscopic properties of these systems respond to changes in the microscopic interactions within them using quantum theory and statistical mechanics.SanD researchers also investigate the emergence of non-analytic and critical phenomena in matter when interactions are tuned to drive a system across a phase transition.

Structure and dynamics group.

THEORETICAL PHYSICS GROUP

Transient probability distribution of a chiral random walker with shrinking step size for different combinations of shrinking ratios and turning angle distributions [Source: M.G. Aydinan, BS Physics Thesis]

SENIOR MEMBERS: Roland Caballar |Jose Perico Esguerra | Eric Galapon Jose Magpantay | Ian Vega

WEBSITE: www.nip.upd.edu.ph/theoryThe Theoretical Physics Group can be traced back from the Fields and Particles Group, which was one of the three research groups founded upon the establishment of the National Institute of Physics (NIP) in 1983.

The members of the group in 1983 included Professors Roger Posadas, Jose Magpantay, Christopher Bernido, Lorenzo Chan, Rufino Ibarra, and Danilo Yanga.

The group's research efforts in 1980’s were on gauge theories, general relativity, Kaluza-Klein theory, nuclear theory, quantum field theory, and stochastic quantization.

In the 1990's, the scope of research undertaken by the group expanded to additional areas such as methods and applications of path summation, condensed matter and high-Tc superconductivity theory, physics of fluids, projection techniques in statistical mechanics, and stellar dynamics.

In recognition of its expanded research thrust, the group was renamed "Theoretical Physics Group" in 2000. The group has been hosting high school students in the joint Summer Science Internship Program of the Philippine Science High School System and the National Institute of Physics since 2012.

An eigenfunction of the harmonic oscillator time of arrival operator evolves such that it is most localized at the origin

at the time equal to its corresponding eigenvalue. [E.A. Galapon, Proc. R. Soc. A(2009) 465, 71–86]

Research Areas

Mathematical and Computational Physics (Asymptotics, Approximate Analytical Solution Schemes for Quantum and Nonlinear Problems) | Statistical Mechanics, Random Walks and Diffusion, and Physical applications of Fractional Calculus |Foundations of Quantum Mechanics, Quantum Measurements theory, Quantum Tunneling Time, Quantum Arrival time, Quantum Entanglement, Quantum Walks, Open Quantum Systems | Quantum Field Theory, Nuclear Theory , High Energy Physics | Theoretical Condensed Matter Physics, Many-Body Physics, Ultracold Atoms.

ADDRESS: College of Science, the National Science Complex, University of the Philippines Diliman, Quezon City 1101 Philippines. WEBSITE: www.nip.upd.edu.ph. TELEPHONE: +63 2 981 8500

local 3701-03 Direct Line: +63 2 920 9749