Wave chaos in singular quantum billiard
- 16 April 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 64 (16), 1855-1858
- https://doi.org/10.1103/physrevlett.64.1855
Abstract
We present a solvable singular quantum billiard which displays fully developed wave chaos. Its level statistics is investigated and proved to coincide with predictions of the Gaussian orthogonal ensemble of random matrices. The corresponding wave functions are shown to be well approximated by a Gaussian ransom variable.Keywords
This publication has 15 references indexed in Scilit:
- Quantum level statistics of pseudointegrable billiardsPhysical Review Letters, 1989
- Extreme level repulsion for chaotic quantum HamiltoniansPhysics Letters A, 1989
- Quantum Chaos of the Hadamard-Gutzwiller ModelPhysical Review Letters, 1988
- Quantum mechanics of classically non-integrable systemsPhysics Reports, 1988
- Quantum and classical dynamics in the stadium billiardPhysical Review A, 1986
- Semiclassical theory of spectral rigidityProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1985
- Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation LawsPhysical Review Letters, 1984
- Quantizing a classically ergodic system: Sinai's billiard and the KKR methodAnnals of Physics, 1981
- Level clustering in the regular spectrumProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1977
- Dynamical systems with elastic reflectionsRussian Mathematical Surveys, 1970