2001•Journal of Mathematical PhysicsOpen access

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

A. J. Fendrik, María José Sánchez

Abstract

We derive an asymptotic formula for the eigenvalues of the Aharonov–Bohm annular billiard (ABAB) that improves and corrects previous estimates. Employing semiclassical arguments we relate the limitations of the procedure to the topology of the classical phase space of the system.

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Key concepts: Dynamical billiards, Semiclassical physics, Eigenvalues and eigenvectors, Phase space, Mathematics, Space (punctuation), Aharonov–Bohm effect, Mathematical physics