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 Tγ(q,q') for non-periodic condition, calculate the commutator and its domain for the non-periodic case, and show that the Hamiltonian operator Hγ and non-periodic confined TOA operator Tγ are canonically conjugate. We also included the investigation of the symmetry of this TOA operator.

SPP 2001 Proceedings Cover

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Published

2001-10-24

Issue

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

Section

Theoretical Physics

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How to Cite

[1]
“Confined time of arrival operator (TAO) for the (0,l) segment”, Proc. SPP, vol. 19, no. 1, p. SPP-2001-PP-20, Oct. 2001, Accessed: Apr. 08, 2026. [Online]. Available: https://proceedings.spp-online.org/article/view/SPP-2001-PP-20