Title: Classical and quantum billiards : integrable, nonintegrable and pseudo-integrable
Abstract: Statistical properties of the spectra of quantum two dimensional billiards are shown to be linked to the nature of the dynamics of the corresponding classical systems. Quantized pseudo-integrable billiard exibits level repulsion, in spite of non chaotic dynamics of its classical counterpart. We conjecture that the level statistics of a quantum pseudo integrable system depends on the genus of the invariant manifold equivalent to its classical phase space. A model of billiards with finite walls suitable to investigate the problems of chaotic scattering is proposed
Publication Year: 1992
Publication Date: 1992-01-01
Language: en
Type: article
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Cited By Count: 11
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