Numerical accuracy of Bogomolny's semiclassical quantization scheme in quantum billiards

DOI10.1088/0305-4470/32/29/303zbMath0946.81032arXivchao-dyn/9906013OpenAlexW3104438859MaRDI QIDQ4947690

Daniel C. Rouben, Bambi Hu, Baowen Li

Publication date: 25 April 2000

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/9906013

zbMATH Keywords

eigenvaluestransfer operatorLimaçon quantum billiardsemiclassical quantization scheme of Bogomolny

Mathematics Subject Classification ID

Quantum chaos (81Q50) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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