Trace formula for an ensemble of bumpy billiards.

Details Trace formula for an ensemble of bumpy billiards. Trace formula for an ensemble of bumpy billiards.

1995-05-16

arxiv.org/abs/chao-dyn/9505009v1

J. Phys. A, 28 (1995) 4123

Physics

Condensed Matter

12 pages, latex, 3 figures available by fax upon request.

Scientific paper

10.1088/0305-4470/28/14/028

We study the semiclassical quantization of an ensemble of billiards with a
small random shape deformation. We derive a trace formula averaged over shape
disorder. The results are illustrated by the study of supershells in rough
metal clusters.

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