Quantum time of arrival for the cubic potential using the Weyl basis operators

Authors

  • Ramon Jose C. Bagunu ⋅ PH Department of Physical Sciences and Mathematics, University of the Philippines Manila

Abstract

The quantum time of arrival for the cubic potential was obtained using the time-energy canonical commutation relation [H,T] = iħ1, where H is the Hamiltonian and T is the time of arrival operator. The Weyl basis operators Tm,n arising from the Weyl quantization, were used to find a meaningful time operator conjugate with the system Hamiltonian. This process can be extended in different basis, where the results can be compared to verify the uniqueness of time operators in potentials of order greater than 2.

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Issue

Article ID

SPP-2023-PC-26

Section

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

Published

2023-07-09

How to Cite

[1]
RJC Bagunu, Quantum time of arrival for the cubic potential using the Weyl basis operators, Proceedings of the Samahang Pisika ng Pilipinas 41, SPP-2023-PC-26 (2023). URL: https://proceedings.spp-online.org/article/view/SPP-2023-PC-26.