Eigenfunctions of the free shifted time of arrival

Authors

  • Ralph Adrian E. Farrales ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Al Fisher Gaius A. Coronado ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Eric A. Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We solve the eigenfunctions of the free shifted time of arrival by converting the integral form of the operator into a differential equation, and then solving via Frobenius method. We then look at the confined case and obtain characteristic equations satisfied by the eigenvalues. These eigenvalues were shown to coincide with the results of the Gaussian quadrature method.

Downloads

Issue

Article ID

SPP-2023-PC-04

Section

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

Published

2023-07-08

How to Cite

[1]
RAE Farrales, AFGA Coronado, and EA Galapon, Eigenfunctions of the free shifted time of arrival, Proceedings of the Samahang Pisika ng Pilipinas 41, SPP-2023-PC-04 (2023). URL: https://proceedings.spp-online.org/article/view/SPP-2023-PC-04.