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VOL. 22 | 2021 Generalized Weyl Quantization and Time
Daisy A. Romeo, Job A. Nable

Editor(s) Ivaïlo M. Mladenov, Vladimir Pulov, Akira Yoshioka

Abstract

This work presents quantization of time of arrival functions using generalized Stratonovich-Weyl quantization. We take into account the ordering problems involved, mainly the Born-Jordan and the symmetric ordering schemes. We call attention to the combination of the group theoretic methods usually employed in Weyl quantization with the implementation of different ordering schemes via integral kernel factors. It is possible to, and we do, apply the Pegg-Barnett method to the quantization of time to address physical issues such as boundedness and self-adjointness.

Information

Published: 1 January 2021
First available in Project Euclid: 2 June 2021

Digital Object Identifier: 10.7546/giq-22-2021-242-252

Rights: Copyright © 2021 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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