Quantized open chaotic systems
classification
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math-phmath.MP
keywords
chaoticeigenvaluesresonancessystemsanalyzedaxisboundsclassical
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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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