Non-generic spectral statistics in the quantized stadium billiard

DOI10.1088/0305-4470/26/22/022zbMath0823.58029OpenAlexW1980258335MaRDI QIDQ4317476

Robert G. Littlejohn, M. Sieber, Uzy Smilansky, Stephen C. Creagh

Publication date: 24 October 1995

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

Full work available at URL: https://doi.org/10.1088/0305-4470/26/22/022

zbMATH Keywords

semiclassical approximationenergy spectrumquantized stadium 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) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (8)

Quantum signatures of chaos in relativistic quantum billiards with shapes of circle- and ellipse-sectors* ⋮ Quantization of Sinai's billiard -- a scattering approach ⋮ Polygonal billiards: correspondence between classical trajectories and quantum eigenstates ⋮ Quantization of a generic chaotic 3D billiard with smooth boundary. I: Energy level statistics. ⋮ Quantifying intermittency in the open drivebelt billiard ⋮ Quantal-classical duality and the semiclassical trace formula ⋮ Diffractive Orbits in Quantum Billiards ⋮ Scars in nonintegrable and rational billiards.

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