Generalized Weyl Quantization and Time

Author:

Romeo Daisy A.,Nable Job A.

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.

Publisher

Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)

Subject

Applied Mathematics,Geometry and Topology,Mathematical Physics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Quantization of time of arrival functions via harmonic analysis on the Euclidean motion group on the plane;AIP Conference Proceedings;2024

2. Coherent state quantization of time of arrival functions of confined and free particles;The 5th Innovation and Analytics Conference & Exhibition (IACE 2021);2022

3. Phase space quantum mechanics via frame quantization on finite groups;The 5th Innovation and Analytics Conference & Exhibition (IACE 2021);2022

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