Quantized open chaotic systems

Details Quantized open chaotic systems Quantized open chaotic systems

2010-11-11

arxiv.org/abs/1011.2557v2

Mathematics

Analysis of PDEs

Proceedings of the conference QMath 11; QMath 11, Hradec Kralove : Czech Republic (2010)

Scientific paper

Two different "wave chaotic" systems, involving complex eigenvalues or
resonances, can be analyzed using common semiclassical methods. In particular,
one obtains fractal Weyl upper bounds for the density of resonances/eigenvalues
near the real axis, and a classical dynamical criterion for a spectral gap.

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