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

Authors

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