Statistical properties of spectra of pseudointegrable systems
- 1 May 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 49 (5) , 3748-3756
- https://doi.org/10.1103/physreve.49.3748
Abstract
We analyze the spectral properties of various quantum pseudointegrable billiards (rhombus, gnomon, deltoid) and link them to the genus of the invariant surface of the corresponding classical model. Numerical investigations of the quantum billiards are completed by an experimental study of microwave resonators. Absorption spectra of microwaves in ‘‘ssL-shaped’’ resonators are measured and the distributions of eigenfrequencies are investigated.Keywords
This publication has 58 references indexed in Scilit:
- Universality and nonuniversality of level statistics in the stadium billiardPhysical Review A, 1990
- A theorem on ergodicity of two-dimensional hyperbolic billiardsCommunications in Mathematical Physics, 1990
- Wave chaos in the stadium: Statistical properties of short-wave solutions of the Helmholtz equationPhysical Review A, 1988
- Transition from Regular to Irregular Spectra in Quantum BilliardsPhysical Review Letters, 1985
- Energy-Level Statistics of Integrable Quantum SystemsPhysical Review Letters, 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
- On the ergodic properties of nowhere dispersing billiardsCommunications in Mathematical Physics, 1979
- Spectrum and Eigenfunctions for a Hamiltonian with Stochastic TrajectoriesPhysical Review Letters, 1979
- Level clustering in the regular spectrumProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1977