Construction of time of arrival operators for inverse cube potential

Authors

  • Austin S. Dizon ⋅ PH Department of Physical Sciences and Mathematics, University of the Philippines Manila
  • Eric A. Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We demonstrate the process of constructing time of arrival operators for inverse cube potential using Bender-Dunne basis operators. The constructed operators differs from the classical time of arrival in the classical limit, since the process of Bender and Dunne prescribed obtaining only the minimal solutions. An additional process is added in the construction of the operators so that it can fully replicate the classical time of arrival in the classical limit.

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Issue

Article ID

SPP-2023-PC-05

Section

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

Published

2023-06-25

How to Cite

[1]
AS Dizon and EA Galapon, Construction of time of arrival operators for inverse cube potential, Proceedings of the Samahang Pisika ng Pilipinas 41, SPP-2023-PC-05 (2023). URL: https://proceedings.spp-online.org/article/view/SPP-2023-PC-05.