Geometry of high-lying eigenfunctions in a plane billiard system having mixed-type classical dynamics

DOI10.1088/0305-4470/28/10/012zbMath0838.58025arXivchao-dyn/9501020OpenAlexW3105735078MaRDI QIDQ4845692

Baowen Li, Marko Robnik

Publication date: 6 June 1996

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9501020

zbMATH Keywords

Schrödinger equationquantum chaosplane billiard systemquantum Wigner phase space

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum chaos (81Q50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (3)

Switching of transmission resonances in a two-channels coupler: a boundary wall method scattering study ⋮ Statistical measures for eigenfunctions of nonseparable quantum billiard systems ⋮ The local geometry of chaotic billiards

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