Towards an analytical formula for the eigenvalues of the Aharonov-Bohm annular billiard

Authors
Fendrik, AJ Sanchez, MJ
Citation
Aj. Fendrik et Mj. Sanchez, Towards an analytical formula for the eigenvalues of the Aharonov-Bohm annular billiard, J MATH PHYS, 42(3), 2001, pp. 996-1005
Citations number
14
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
42
Issue
3
Year of publication
2001
Pages
996 - 1005
Database
ISI
SICI code
0022-2488(200103)42:3<996:TAAFFT>2.0.ZU;2-M
Abstract
We derive an asymptotic formula for the eigenvalues of the Aharonov-Bohm an nular billiard (ABAB) that improves and corrects previous estimates. Employ ing semiclassical arguments we relate the limitations of the procedure to t he topology of the classical phase space of the system. (C) 2001 American I nstitute of Physics.