Trace formula for an ensemble of bumpy billiards.

Nicolas Pavloff 1

Journal of Physics A 28 (1995) 4123-4132

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.

  • 1. Division de Physique Théorique, IPN,
    Université Paris XI - Paris Sud