Discrete Symmetries in the Weyl Expansion for Quantum Billiards

Abstract

We consider two and three-dimensional quantum billiards with discrete symmetries. We derive the first terms of the Weyl expansion for the level density projected onto the irreducible representations of the symmetry group. As an illustration the method is applied to the icosahedral billiard. The paper was published in J. Phys. A /27/ (1994) 4317-4323

8 printed pages Latex file

Cited by in corpus (5)

• Edge Diffraction, Trace Formulae and the Cardioid Billiard
• A Matrix Element for Chaotic Tunnelling Rates and Scarring Intensities
• Symmetry Decomposition of Potentials with Channels
• Correlations between spectra with different symmetry: any chance to be observed?
• Spectral Geometry and the Semiclassical Approach