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.

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

References in corpus (2)

• Tunneling and the Band Structure of Chaotic Systems
• Quantal Consequences of Perturbations Which Destroy Structurally Unstable Orbits in Chaotic Billiards

Cited by in corpus (2)

• Super Shell Structure of the Magnetic Susceptibility
• Rough droplet model for spherical metal clusters