Isolated versus nonisolated periodic orbits in variants of the two-dimensional square and circular billiards

DOI10.1063/1.532762zbMath0986.81030OpenAlexW2072479930MaRDI QIDQ4701699

R. W. Robinett

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532762

zbMATH Keywords

Sinai billiardperiodic orbit theorytwo-dimensional potentialsinfinite wellssupersymmetric partner potentials

Mathematics Subject Classification ID

Quantum chaos (81Q50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (4)

“Striped” rectangular rigid box with Hermitian and non-Hermitian PT symmetric potentials ⋮ Quantum mechanical analysis of the equilateral triangle billiard: Periodic orbit theory and wave packet revivals ⋮ On survival dynamics of classical systems. Non-chaotic open billiards ⋮ Exact, zero-energy, square-integrable solutions of a model related to the Maxwell's fish-eye problem

Cites Work

• Distribution of eigenfrequencies for the wave equation in a finite domain. III: Eigenfrequency density oscillations
• Application of the Rayleigh-Schrödinger Perturbation Theory to the Delta Function Potential
• The elliptic billiard: subtleties of separability
• Periodic orbit theory analysis of a continuous family of quasi-circular billiards
• Level clustering in the regular spectrum
• Dynamical systems with elastic reflections

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