Condensed Matter Physics Seminar

Monday, May 17, 1999, 1 p.m.
Physics Building, Room 1304

The perturbed circular billiard: Semiclassical theory for almost integrable systems

Oleg Zaitsev

(University of Maryland)

Abstract:  The semiclassical perturbation theory based on the quantum surface of section method is developed for a circular billiard with a perturbed boundary.  It is dealing, primarily, with quantizing the resonances generically appearing in classical perturbation theory.  We derive the explicit WKB-like wavefunctions, whose phase depends on the square root of the small parameter.  As a by-product of the method, some results of the classical perturbation theory can be obtained.  The theory can be generalized to apply to other two-dimensional perturbed integrable systems.

Host: Richard Prange

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