NIP REPORT January 2006- May 2007 - The UP College of Science ...

9. Evolution of the Momentum Distribution Function of Kicked Systems with Non-Poissonian
Waiting Times, P. Esguerra and A. Laganapan (BS student)
10. Development of Accurate Solutions for Relativistic Oscillators, P. Esguerra and M.Solon (BS
student)
11. Solutions of the Generalized Langevin equation for charged particles influenced by electric
and magnetic fields, P. Esguerra, B.Rara (PhD student), F. Paraan (MS student), M.Solon (BS
student)
12. Issues on the thermodynamics of blackholes, P.Esguerra and M.Solis (MS student)
13. Vlasov-Poisson perturbation schemes for colliding galaxies, P.Esguerra and R.Sol (BS
student)
14. Dynamics of graded non-linear systems, P. Esguerra and R. Perez
The members of the subgroup as of April 15,2007 are:
Assistant Professor: Jose Perico Esguerra
PhD Students: Rumelo Amor, Bhazel Anne Rara
MS Students: Glenn Aguarte, Rochelle Coronel, Diandrew Lexter Dy, Francis Norman Paraan,
Ruel Perez,
Michael Reuben Solis
BS Students: Michiko Alcanzare , Ruby Agnes Alfonso, Niel Laurent Caidic, Mikaela Irene
Fudolig,
Emmanuel Soliman Garcia, Jomel Imperio,Aleena K. Laganapan, Ramses Russel Sol, Mikhail
Solon,
Kristian Hauser Villegas
Subgroup 2 (Foundations and computational methods of quantum mechanics)
Project title: Theory of quantum arrival for arbitrary arrival point and arbitrary interaction
potential via spatial confinement and applications
(Long term project of the subgroup)
Summary
The project seeks to address the quantum time of arrival problem in one dimension for arbitrary
arrival point and for arbitrary interaction potential using the researcher's theory of quantum
arrival via spatial confinement. In particular, the project seeks to investigate the theoretical and
practical ramifications of the theory. On the theoretical side, we explore the implications of the
theory to the foundations of quantum mechanics, primarily in the areas of quantum measurement
and interpretations of quantum mechanics, and from that draw specific experimentally verifiable
or falsifiable predictions of the theory that can distinguish standard quantum mechanics from its
alternative formulations. On the practical side, we seek to apply the theory to the temporal
aspects of quantum tunneling and to the translational motion of ultracold atoms. For the former,
we seek to extend the theory to potentials with compact supports such as piecewise potential
barriers; then apply the extended theory to quantum tunneling such as the dynamics of particle
transport across barriers, the Hartman effect, and the presence or absence of superluminal barrier
tunneling. For the later, we extend the theory to finite temperatures and to mixed initial states;
then apply the extended theory to the interpretation of time-of-flight measurements involving
ultracold atoms and Bose-Einstein condensates.
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