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.
- Received 14 December 1993
DOI:https://doi.org/10.1103/PhysRevE.49.3748
©1994 American Physical Society