Dynamics of the shifted time of arrival with time-reversal symmetry for the free particle case

Authors

Ralph Adrian E. Farrales ⋅ PH National Institute of Physics, University of the Philippines Diliman
John Jaykel P. Magadan ⋅ PH National Institute of Physics, University of the Philippines Diliman
Eric A. Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

The solutions to the time-energy canonical commutation relation can be obtained using the time kernel equation. One specific boundary condition corresponds to the time of arrival solution. Other solutions produced by the general boundary condition are the shifted time of arrival solutions. We investigate the dynamics of a shifted time of arrival solution for the free particle case which satisfies time-reversal symmetry. It is shown that it does not exhibit unitary arrival at the origin, which is the expected arrival point of the time of arrival term.

Downloads

Issue

2023: Proceedings of the 41st Samahang Pisika ng Pilipinas Physics Conference

Article ID

SPP-2023-PC-27

Section

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

Published

2023-07-11

How to Cite

[1]

RAE Farrales, JJP Magadan, and EA Galapon, Dynamics of the shifted time of arrival with time-reversal symmetry for the free particle case, Proceedings of the Samahang Pisika ng Pilipinas 41, SPP-2023-PC-27 (2023). URL: https://proceedings.spp-online.org/article/view/SPP-2023-PC-27.