Confined time of arrival operator (TAO) for the (0,l) segment

Authors

Ruel E. Perez ⋅ PH National Institute of Physics, University of the Philippines Diliman
Ricardo T. Bahague ⋅ PH National Institute of Physics, University of the Philippines Diliman
Eric A. Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

In this paper we investigate the Confined Time of Arrival operator (TAO) for the (0,l) segment. We derive the kernel T_γ(q,q') for non-periodic condition, calculate the commutator and its domain for the non-periodic case, and show that the Hamiltonian operator H_γ and non-periodic confined TOA operator T_γ are canonically conjugate. We also included the investigation of the symmetry of this TOA operator.

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Issue

2001: Proceedings of the 19th Samahang Pisika ng Pilipinas Philippine Physics Congress

Article ID

SPP-2001-PP-20

Section

Theoretical Physics

Published

2001-10-24

How to Cite

[1]

RE Perez, RT Bahague, and EA Galapon, Confined time of arrival operator (TAO) for the (0,l) segment, Proceedings of the Samahang Pisika ng Pilipinas 19, SPP-2001-PP-20 (2001). URL: https://proceedings.spp-online.org/article/view/SPP-2001-PP-20.