Trace formula for an ensemble of bumpy billiards
Abstract
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.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- July 1995
- DOI:
- arXiv:
- arXiv:chao-dyn/9505009
- Bibcode:
- 1995JPhA...28.4123P
- Keywords:
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- Nonlinear Sciences - Chaotic Dynamics;
- Condensed Matter
- E-Print:
- 12 pages, latex, 3 figures available by fax upon request.