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arXiv · 1011.2557

Quantized open chaotic systems

Stéphane Nonnenmacher
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Abstract

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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Stéphane Nonnenmacher. 2012-01-25. Quantized open chaotic systems. https://doi.org/10.1142/9789814350365_0025

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