Quantum mechanics of a free particle on a plane with an extracted point

K. Kowalski, K. Podlaski, and J. Rembieliński
Phys. Rev. A 66, 032118 – Published 27 September 2002
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Abstract

A detailed study of a quantum free particle on a pointed plane is presented in this paper. In particular, some questions posed in the very recent paper by M. A. Cirone et al, Phys. Rev. A 65, 022101 (2002) are clarified. Namely, the topological effects related to extracting a point from a plane are indicated. The proposed results are introduced concerning self-adjoint extensions of operators describing the free particle on a pointed plane as well as the role played by discrete symmetries in the analysis of such extensions.

  • Received 17 June 2002

DOI:https://doi.org/10.1103/PhysRevA.66.032118

©2002 American Physical Society

Authors & Affiliations

K. Kowalski, K. Podlaski, and J. Rembieliński

  • Department of Theoretical Physics, University of Łódź, ul. Pomorska 149/153, 90-236 Łódź, Poland

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Vol. 66, Iss. 3 — September 2002

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