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.

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Issue

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

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.