Scars in nonintegrable and rational billiards.

DOI10.1007/BF02183647zbMath1081.81530MaRDI QIDQ1593392

Naotaka Yoshinaga, Mitsuyoshi Tomiya

Publication date: 16 January 2001

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

zbMATH Keywords

quantum chaosBunimovich stadiumpseudointegrable systemsrational billiard

Mathematics Subject Classification ID

Quantum chaos (81Q50) Ergodic theorems, spectral theory, Markov operators (37A30)

Cites Work

• Unnamed Item
• Pseudointegrable systems in classical and quantum mechanics
• Analytically solvable dynamical systems which are not integrable
• Smoothed wave functions of chaotic quantum systems
• Statistical Properties of Eigenfunctions for Quantum Billiards with and without Positive Lyapunov Exponent
• Non-generic spectral statistics in the quantized stadium billiard
• Wave chaos in singular quantum billiard
• Semiclassical interpretation of avoided crossings for classically nonintegrable systems

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