Quantization of Sinai's billiard -- a scattering approach

DOI10.1016/0960-0779(94)E0066-XzbMath0907.58023arXivchao-dyn/9502019MaRDI QIDQ1129357

Holger Schanz, Uzy Smilansky

Publication date: 5 November 1998

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9502019

zbMATH Keywords

scatteringspectrumsemiclassical quantizationSinai billiard

Mathematics Subject Classification ID

Quantum chaos (81Q50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Applications of dynamical systems (37N99) Geometric quantization (53D50)

Related Items (8)

A trace formula for metric graphs with piecewise constant potentials and multi-mode graphs ⋮ Quantum surface of section method: eigenstates and unitary quantum Poincaré evolution ⋮ Nodal statistics on quantum graphs ⋮ Universal spectral properties of spatially periodic quantum systems with chaotic classical dynamics ⋮ Eigenstates and scattering solutions for billiard problems: a boundary wall approach ⋮ Weak quantum ergodicity ⋮ Quantal-classical duality and the semiclassical trace formula ⋮ Elastodynamics on graphs—wave propagation on networks of plates

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• A simple model for chaotic scattering. II: Quantum mechanical theory
• Semiclassical quantization of multidimensional systems
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• Non-generic spectral statistics in the quantized stadium billiard
• Semiclassical theory of spectral rigidity
• Random-matrix description of chaotic scattering: Semiclassical approach
• A scattering approach to the quantization of Hamiltonians in two dimensions-application to the wedge billiard

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