Solutions to the time-energy canonical commutation relation for harmonic oscillator potential

  • John Jaykel Ponte Magadan National Institute of Physics, University of the Philippines Diliman
  • Eric Alvarez Galapon National Institute of Physics, University of the Philippines Diliman

Abstract

Different solutions to the time-energy canonical commutation relation (TE-CCR) for the harmonic oscillator potential were obtained and were differentiated by comparing their symmetries. Their dynamics, in particular the dynamics of their eigenfunctions, were investigated. The eigenfunction of the TOA operator that satisfies the time reversal symmetry has the sharpest arrival with the arrival occurring at tits corresponding eigenvalue. Meanwhile the eigenfunctions of the TOA operators that do not satisfy the time reversal symmetry do not have good unitary arrival and can not be considered as legitimate TOA operators.

Published
2018-05-29
How to Cite
[1]
J. J. Magadan and E. Galapon. Solutions to the time-energy canonical commutation relation for harmonic oscillator potential, Proceedings of the Samahang Pisika ng Pilipinas 36, SPP-2018-PC-37 (2018). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2018-PC-37.
Section
Poster Session C (Mathematical Physics, Optics, and Interdisciplinary Topics)