A simple model for chaotic scattering. II: Quantum mechanical theory

DOI10.1016/0167-2789(89)90252-2zbMath0753.58038OpenAlexW1485398220MaRDI QIDQ1812607

Yanyan Li

Publication date: 25 June 1992

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90252-2

zbMATH Keywords

scatteringstochastic processessemiclassical approximationfluctuationscorrelation functionselastic scatteringscattering theoryquantum mechanicspotential scatteringwave functionsautocorrelationschaotic systemsstatisticsrandomnessLippman-Schwinger equation

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

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Chaotic scattering on a double well: Periodic orbits, symbolic dynamics, and scaling ⋮ Relativistic quantum chaos ⋮ Divergences of the semiclassical \(S\)-matrix formula in irregular scattering ⋮ Quantization of Sinai's billiard -- a scattering approach ⋮ Universal spectral properties of spatially periodic quantum systems with chaotic classical dynamics ⋮ A devil's staircase into chaotic scattering ⋮ Distributions of off-diagonal scattering matrix elements: Exact results ⋮ On the dynamical foundations of transition state theory: A semiclassical analysis ⋮ Time delay ⋮ Relativistic quantum scarring, spin-induced phase, and quantization in a symmetric Dirac billiard system

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