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Condensed Matter Physics Seminar

Monday, May 17, 1999, 1 p.m.

Physics Building, Room 1304
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*The perturbed circular billiard: Semiclassical theory for almost integrable
systems*

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Oleg Zaitsev

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(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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