On spectral statistics of classically integrable systems

DOI10.1088/0305-4470/31/20/008zbMath0951.81004OpenAlexW2016757810MaRDI QIDQ4703737

Gregor Veble, Marko Robnik

Publication date: 30 November 1999

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

Full work available at URL: https://doi.org/10.1088/0305-4470/31/20/008

zbMATH Keywords

Poissonian statisticscircle billiardretangular billiardtorus billiard

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Quantum chaos (81Q50) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (6)

Quantum signatures of chaos in relativistic quantum billiards with shapes of circle- and ellipse-sectors* ⋮ Spectral properties of quantized barrier billiards ⋮ LEVEL REPULSION IN INTEGRABLE SYSTEMS ⋮ Power spectrum and form factor in random diagonal matrices and integrable billiards ⋮ A Brief Introduction to Stationary Quantum Chaos in Generic Systems ⋮ Microwave studies of the spectral statistics in chaotic systems

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