Circular quantum billiard with a singular magnetic flux line

Reimann, S. M. ; Brack, M. ; Magner, A. G. ; Blaschke, J. ; Murthy, M. V. N. (1996) Circular quantum billiard with a singular magnetic flux line Physical Review A, 53 (1). pp. 39-48. ISSN 1050-2947

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Official URL: http://pra.aps.org/abstract/PRA/v53/i1/p39_1

Related URL: http://dx.doi.org/10.1103/PhysRevA.53.39

Abstract

We discuss the application of Gutzwiller's semiclassical theory to a circular billiard with a singular magnetic flux line added at its center. The Aharonov-Bohm effect manifests itself through the cancellation of periodic orbits for particular flux strengths. Diffraction phenomena affect the gross-shell structure of the level density and require corrections of higher order in h. The full quantization of the level spectrum, however, is much less affected.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:25543
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