Eric Alvarez Galapon

Details

Dr. Eric A. Galapon is reognized of his significant original contributions in the field of theoretical physics specifically on the fundamental issue of time in quantum physics, by independently and successfully formulating and carrying out interesting research despite the unfavorable socio-economic conditions in the Philippines that have made the pursuit of scientific excellence much more difficult. He has been an effective teacher and a dedicated and competent mentor of promising graduate and advanced undergraduate physics students who could be the next generation of outstanding scientists and researchers of the country. His research findings have been published in the leading physics journals of the world, e.g., Physical Review Letters, Physical Review, and Proceedings of the Royal Society of London.

Sex: Male

Education:

  • University of the Philippines, Diliman, Quezon City, Ph.D. in Physics, 2001
  • University of he Philippines, Diliman, Quezon City, M.S. Physics, 1996
  • University of the Philippines, Diliman, Quezon City, B.S. Physics, 1992

Field of Specialization:

Foundations and applications of quantum mechanics, Computational physics, Physics

Researches:

(2002) Self-adjoint Time Operator is the Rule for Discrete Semibounded Hamiltonians
Proc. R Soc. Load A Volume 487

(2002) Pauli's Theorem and Quantum Canonical Pairs: The Consistency Of a Bounded, Self-Adjoint Time Operator Canonically Conjugate to a Hamiltonian with Non-empty Point Spectrum
Proc. R. Soc. Load A Volume 458

(2001) Quantum-Classical Correspondence of Dynamical Observables, Quantization and the Time of Arrival Correspondence Problem
Opt. and Specs. Volume 91

(2009) Post Pauli's Theorem Emerging Perspective on Time in Quantum Mechanics
Time in Quantum Mechanics II, J.G. Muga, A. Rushhaupt, A. del Campo, eds., Springer-Verlag (Germany)

(2006) What could have been missing while Pauli's theorem was enforced?
Time and Matter, I. Bigi and M. Faesler, eds., World Scientific

Bunao, J., (2009) The role of conjugacy in the dynamics of the CTOA operator
Samahang Pisika ng Pilipinas 2009 Proceedings

Pamillo, R., (2009) More delta convergent sequences that vanish at the support of the limit Dirac delta
Samahang Pisika ng Pilipinas 2009 Proceedings (Tagaytay)

(2009) Quantum time of arrival expectation values for freely falling quantum particle as indicators of quantum violation of the weak equivalence principle
Samahang Pisika ng Pilipinas 2009 Proceedings

Martinez, J., (2009) Effect of a linear potential on the temporal diffraction of particle in a box
Samahang Pisika ng Pilipinas 2009 Proceedings (Tagaytay)

Caballar, R., () Characteristic time operators for systems with degenerate energy spectrum
Samahang Pisika ng Pilipinas 2009 Proceedings (Tagaytay)2009

Villanueva, A., (2009) Formal perturbative solution for the generalized crossing state
Samahang Pisika ng Pilipinas 2009 Proceedings (Tagaytay)

(2002) Existence and uniqueness theorem for the time kernel equations
Samahang Pisika ng Pilipinas National Congress 2002 Proceeding

Bahague Jr., R.T., (2001) Static behaviors of confined time of arrival operators
Samahang Pisika ng Pilipinas National Congress 2001 Proceedings

Domingo, H.B., (2001) The time of arrival quantum-classical correspondence problem for arbitrary arrival points
Samahang Pisika ng Pilipinas National Congress 2001 Proceedings

Perez, R.E., Bahague, R.T., (2001) Confined time of arrival operator for the (0,1) segment
Samahang Pisika ng Pilipinas National Congress 2001 Proceedings

(2000) The time of arrival quantum classical correspondence problem
Samahang Pisika ng Pilipinas National Congress 2000 Proceedings

(1999) Pauli's seven decade myth: the consistency of bounded time operator conjugate to a Hamiltonian with point spectrum
Samahang Pisika ng Pilipinas National Congress 1999 Proceedings

(1999) Quantum arrival times for confined autonomous Hamiltonian systems
Philippine Physical Society National Congress 1999 Proceedings

Overio, A., (1998) Iterative construction of quasi-time operators
Samahang Pisika ng Pilipinas National Congress 1998 Proceedings

(1998) Free motion quantum theory of time in a box
Philippine Physical Society National Congress 1998 Proceedings

(1997) Compounded infinitesimal Hamiltonian perturbations: a model of Hamiltonian transitions by a continuous perturbation on a free Hamiltonian
Samahang Pisika ng Pilipinas National Congress 1997 Proceedings

(1997) Inverse commutation approach to classical and quantum time functions
Philippine Physical Society-National Congress Proceedings

(2009) Quantum wave packet size effects on neutron time of flight spectroscopy
Rapid Communications: Phys. Rev. A 80, 030102

Caballar, R., (2009) Characterizing multiple solutions of the timeenergy-canonical commutation relation via quantum dynamics
Phys. Let. A

(2009) Delta Convergent Sequences that Vanish at the Support of the Limit Dirac Delta Function
Journal of Physics A.: Math Theory Volume 42

(2009) Theory of Quantum Arrival and Spatial Wave Function Collapse on the Appearance of Particle
Proc. Roy. Lond. A Volume 465

(2008) Comment on Almost-periodic time observables for bound quantum systems
J. Phys. A: Math. Theor. Volume 42

Villanueva, A., (2008) Quantum First Time of Arrival Operators
J. Phys. A: Math. Theor. Volume 41

Vitancol, R., (2008) Application of Clenshaw-Curtis method in confined time of arrival operator eigenvalue-problem
International Journal of Modern Physics C. Volume 19

(2006) Theory of quantum first time of arrival via spatial confinement I: Confined time of arrival operators for continuous potentials
Int. Jour. Mod. Phys. A. Volume 21

Caballar, R. Bahague, R., (2005) Confined time of arrivals for vanishing potential
Physics Review A.

Delgado, F., Muga, J.G., Egusquiza, I., (2005) Transition from discrete to continuous time of arrival distribution for a quantum particle
Physics Review A Volume 74

Caballar, R.F., Bahague, R.T., (2004) Confined Quantum Time of Arrivals
Phys. Rev. Letters Volume 93

(2004) Shouldn't there be an antithesis to quantization
Journal of Mathematical Physics Volume 45

Caballar, R., (2007 O 24-26) Eigenvalues and Eigenfunctions of a Class of Integral Operators
Proceeding of the Samahang Pisika ng Pilipinas (25th SPP Physics Congress), University of the Philippines Los Banos

Villanueva, A.D., (2007 O 24-26) Obstruction to Quantization and Liouvillian Quantization
Proceedings of the Samahang Pisika ng Pilipinas (25th SPP Physics Congress), University of the Philippines Los Banos

Dy, D.L., (2007 O 24-26) Application of First-Order Perturbation Theory to the Confined Time of Arrival Problem
Proceedings of the Samahang Pisika ng Pilipinas (25th SPP Physics Congress), University of the Philippines Los Banos

Vitancol, R.S., (2006) Superalgebraic computation of confined time of arrival operator eigenvalues
Samahang Pisika ng Pilipinas National Congress 2006 Proceedings

(2006) Born series solution of the time kernel equation and quantum mechanical derivation of the anharmonic oscillator classical time of arrival
Samahang Pisika ng Pilipinas National Congress 2006 Proceedings

Ocampo, L.R., (2006) Symmetry broken confined time of arrival operators
Samahang Pisika ng Pilipinas National Congress Proceedings

Caballar, R.C., (2006) Long time dynamical behavior of the confined quantum time of arrival eigenfunctions
Samahang Pisika ng Pilipinas National Congress 2006 Proceedings

Ramirez, K.G., (2006) Numerical quantum evolution of confined particle with non periodic boundary conditions through split operator method reconstructed by Gegenbauer series
Philippine Physical SocietyNational Congress 2006 Proceedings

Caballar, R.C.F., (2003) On the eigenvalue problem for periodic confined time of arrival operators
Samahang Pisika ng Pilipinas National Congress 2003 Proceedings

Domingo, H.B., (2003) Modified time kernel equation
Samahang Pisika ng Pilipinas National Congress 2003 Proceedings

Pilapil, H.B., Caballar, RC.F., Perez, R.E., (2003) Generalized Laplace method
Samahang Pisika ng Pilipinas 2003 Proceedings

Villanueva, A., Domingo, H.B., (2006) Born series solution of the time kernel equation and quantum mechanical derivation of the anharmonic oscillator classical time of arrival
Samahang Pisika ng Pilipinas National Congress 2006 proceedings

Ocampo, L.R., (2006) Symmetry broken confined time of arrival operators
Samahang Pisika ng Pilipinas National CongressProceedings

Caballar, R.C., (2006) Long time dynamical behavior of the confined quantum time of arrival eigen functions
Samahang Pisika ng Pilipinas National Congress Proceedings

Ramirez, K.G., (2006) Numerical quantum evolution of confined particle with non periodic boundary conditions through split operator method reconstructed by Gegenbauer series
Philippine Physical Society National Congress Proceedings

Caballar, RC.F., (2003) On the eigenvalue problem for periodic confined time of arrival operators
Samahang Pisika ng Pilipinas National Congress 2003 Proceedings

Domingo, H.B., (2003) Modified time kernel equation
Samahang Pisika ng Pilipinas National Congress 2003 Proceedings

Pilapil, H.B., Caballar, R.C.F., Perez, R.A., (2003) Generalized Laplace Method
Samahang Pisika ng Pilipinas

J. Bunao, (2014) The Bender-Dunne basis operators as Hilbert space operators
J. Math. Phys

K.L. Martinez, (2013) Exactification of the Poincare asymptotic expansion of the Hankel integral: Expectacularly accurate asymptotic expansions and non-asymptotic scales
Proc. Roy. Lond. A

(2012) Only above barrier energy components contribute to barrier traversal time
Phys. Rev. Lett

D.L.B. Sombillo, (2012) Quantum time of arrival Goursat problem
J. Math. Phys

A.D. Villanueva, (2010) Generalized crossing states in the interacting case: The uniform gravitational fields
Phys. Rev. A

R. Caballar, L. Ocampo, (2010) Characterizing multiple solutions to the timeenergy canonical commutation relation via internal symmetries
Phys. Rev. A

R.S. Vitancol, (2013) An N-qubit Master Equation and Two-qubit Entanglement Dynamics in Spin-Chain and Bosonic Environments
Samahang Pisika ng Pilipinas

D. Sombillo, (2013) Expectation value of CTOA-operator for double barrier potential
Samahang Pisika ng Pilipinas

J. Bunao, (2013) A dense domain for T_-3,-3 in L2(- nfinity,infinity)
Samahang Pisika ng Pilipinas

M. Flores, (2013) Bipartite entanglement dynamics of 2 and 3 qubit systems in a single mode reservior with two excitations
Samahang Pisika ng Pilipinas

P. Blancas, (2013) Quantum cloaking of a hard sphere by introducing it a potential coating
Samahang Pisika ng Pilipinas

V. Villegas, (2013) Entanglement generation and enhancement in a two qubit system by local perturbation
Samahang Pisika ng Pilipinas

K.M. Martinez, (2012) Distributional treatment to integrals and applications
Samahang Pisika ng Pilipinas

P.J. Blancas, (2012) Quantum scattering of exactly solvable anisotropic potential in paraboloidal coordinate system
Samahang Pisika ng Pilipinas

J. Bunao, (2012) The time of arrival operator for the free particle case in the Hilbert space L from negative to positive infinity
Samahang Pisika ng Pilipinas

M. Flores, (2012) xact time evolution of a 4-qubit system in a common reservoir and its influence in bipartite entanglement
Samahang Pisika ng Pilipinas

E. Paglinawan, (2012) Apparent quantum observable conjugacy through weak joint measurements
Samahang Pisika ng Pilipinas

J. Gonzales and A. Villanueva, (2012) Wavefunction structure and time of arrival
Samahang Pisika ng Pilipinas

P.J. Blancas, (2012) Quantum scattering of the wave-packet confined in anisotropic paraboidal shell potential
Samahang Pisika ng Pilipinas

(2011) Joint position and kinetic energy measurements: revisiting Aharonov-Popescu- Rolich-Viadman negative kinetic energy
Samahang Pisika ng Pilipinas

R. Vitancol, (2011) Are there quantum measurements that do not alter the state of the system?
Samahang Pisika ng Pilipinas

R.C. Caballar, (2011) Solutions to the time-dependent Schrodinger equation for confined systems with non-local potentials
Samahang Pisika ng Pilipinas

A. Villanueva, (2011) Quantum corrections to the classical time of arrival for linear potentials
Samahang Pisika ng Pilipinas

H. Domingo, (2011) Quantum corrections from simple symmetric ordering
Samahang Pisika ng Pilipinas

J. Gonzalez and A. Villanueva, (2011) The Baute quantum time of arrival distribution for the harmonic oscillator potential
Samahang Pisika ng Pilipinas

(2010) Time in quantum mechanics
Samahang Pisika ng Pilipinas

J. Bunao, (2010) Solution of the TKE for an arbitrary everywhere analytic potential
Samahang Pisika ng Pilipinas

H.B. Domingo, (2010) Algebra of Born-Jordan ordered bases
Samahang Pisika ng Pilipinas

D. Sombillo, (2010) Application of Gaussian quadrature on the numerical solution of the time kernel equation
Samahang Pisika ng Pilipinas

P. Blancas, (2010) High energy reflection and transmission amplitudes in momentum space
Samahang Pisika ng Pilipinas

H.B. Domingo, (2010) Quantum corrections to classical expectation values
Samahang Pisika ng Pilipas

J. Bunao, (2010) The time of arrival of a Gaussian wavepacket for the general analytic potential case
Samahang Pisika ng Pilipinas

A. Villanueva, (2010) The Baute quantum time of arrival distribution in a uniform gravitational field and its classical limit
Samahang Pisika ng Pilipinas

R. Caballar, (2010) Spectra of Hamiltonians with non-local potentials
Samahang Pisika ng Pilipinas

J. Nable, (2010) On representations of the canonical commutation relation by time and energy operators
Samahang Pisika ng Pilipinas

D. Sombillo, (2010) Exact quantum time of arrival correction terms for quartic potential
Samahang Pisika ng Pilipinas

R. Pamillo, (2010) Solution to the Schrodinger equation for a pair of Dirac delta potentials
Samahang Pisika ng Pilipinas

J. Bunao, (2009) The role of conjugacy in the dynamics of the CTOA operator
Samahang Pisika ng Pilipinas

(2000) Quantum-Classical Correspondence of Dynamical Observables
International Conference on Quantum Optics

(2002) What could have we been missing while Pauli's Theorem was in force?
International Colloquium in Time and Matter, Venice, Italy

Papers Presented:

  • Improved numerical approximation of the time kernel factor using hybrid schemes, Samahang Pisika ng Pilipinas 2009 Proceedings (Tagaytay)
  • On fedosov star-products of kernels of time operators, Samahang Pisika ng Pilipinas 2009 Proceedings (Tagaytay)
  • General operator bases for Bender-Dunne space, Samahang Pisika ng Pilipinas 2009 Proceedings (Tagaytay)
  • Asymptotic solution of an anisotropic scattering potential, Samahang Pisika ng Pilipinas 2009 Proceedings (Tagaytay)
  • Classifying solutions to the time-energy canonical commutation relation via time reversal symmetry, Samahang Pisika ng Pilipinas 2008 Proceedings (Baguio)
  • Equivalence of the Liouville time of arrival operator and the suprquantized time of arrival operator for the harmonic and quartic oscillators, Samahang Pisika ng Pilipinas 2008 Proceedings (Baguio)
  • The second minimal Bender-Dunne solution for the harmonic oscillator, Samahang Pisika ng Pilipinas 2008 Proceedings (Baguio)
  • Numerical approximation to the time kernel equation, Samahang Pisika ng Pilipinas 2008 Proceedings (Baguio)
  • Application of a method for solving the eigenfunctions and eigenvalues of a class of integral operators, Samahang Pisika ng Pilipinas 2008 (Baguio)
  • Quantum corrections to the classical time of arrival for certain potentials, Samahang Pisika ng Pilipanas 2008 (Baguio)
  • Quantum Time Transition States, Proceedings of the Samahang Pisika ng Pilipinas (25th SPP Physics Congress), University of the Philippines Los Banos
  • Momentum Time of Arrival, Proceedings of the Samahang Pisika ng Pilipinas (25th SPP Physics Congress), UPLB
  • Numerical Quantum Evolution of Free Particle with Non-Periodic Initial Wave Function Reconstructed by Gegenbauer Series, Proceedings of the Samahang Pisika ng Pilipinas (25th SPP Physics Congress), UPLB

Awards:

  • Scientist I, University of the Philippines, 2009-2001
  • Outstanding Young Scientist, NAST-DOST, 2010
  • National Research Council Achievement Award in Physics for 2013, National Research Council of the Philippines, 2013
  • UP-Centennial Professorial Chair Awardee, University of the Philippines, 2008 - 2014
  • Sciencetist 1, University of the Philippines, Jan. 2009 - 2014