Circular quantum billiard with a singular magnetic flux line

Reimann, Stephanie M. and Brack, M. and Magner, A. G. and Blaschke, J. and 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, 1094-1622

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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
Uncontrolled Keywords: PERIODIC-ORBIT QUANTIZATION; SYSTEMS; CHAOS; SPECTRUM; SYMMETRY
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Matthias Brack
Depositing User: Dr. Gernot Deinzer
Date Deposited: 15 Nov 2023 08:46
Last Modified: 15 Nov 2023 08:46
URI: https://pred.uni-regensburg.de/id/eprint/52117

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