Semiclassical accuracy for billiards

DOI10.1088/0951-7715/7/2/010zbMath0840.35086OpenAlexW2043513539MaRDI QIDQ4862496

P. A. Boasman

Publication date: 4 July 1996

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/7/2/010

zbMATH Keywords

periodic orbitsboundary integral methodsemiclassical approximationchaotic billiardscircle billiardspectra of billiardsBogomolny's kernelsemiclassical shift

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Perturbation theories for operators and differential equations in quantum theory (81Q15) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (4)

Recent developments in the energy level statistics in generic systems between integrability and chaos ⋮ The role of singularities in chaotic spectroscopy ⋮ Boundary Integral Method for Stationary States of Two-Dimensional Quantum Systems ⋮ Exact and Quasiclassical Fredholm Solutions of Quantum Billiards

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