Eigenfunctions of the free shifted time of arrival
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.