Quantum Spectra of Triangular Billiards on the Sphere

Details Quantum Spectra of Triangular Billiards on the Sphere Quantum Spectra of Triangular Billiards on the Sphere

2000-11-13

arxiv.org/abs/nlin/0011022v1

Nonlinear Sciences

Chaotic Dynamics

18 pages, 5 eps figures

Scientific paper

10.1088/0305-4470/34/12/303

We study the quantal energy spectrum of triangular billiards on a spherical
surface. Group theory yields analytical results for tiling billiards while the
generic case is treated numerically. We find that the statistical properties of
the spectra do not follow the standard random matrix results and their peculiar
behaviour can be related to the corresponding classical phase space structure.

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