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

Authors

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

Downloads

Issue

2018: Proceedings of the 36th Samahang Pisika ng Pilipinas Physics Conference

Building bridges and exploring frontiers
6-9 June 2018, Puerto Princesa City

Please visit the activity webpage for SPP2018 for more information on this year's conference.

Article ID

SPP-2018-PC-37

Section

Poster Session C (Mathematical Physics, Optics, and Interdisciplinary Topics)

Published

2018-05-29

How to Cite

[1]

JJP Magadan and EA 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://proceedings.spp-online.org/article/view/SPP-2018-PC-37.