QUANTUM BILLIARDS IN THE SHAPE OF RIGHT TRIANGLES

Authors
SCHACHNER HC OBERMAIR GM
Citation
Hc. Schachner et Gm. Obermair, QUANTUM BILLIARDS IN THE SHAPE OF RIGHT TRIANGLES, Zeitschrift fur Physik. B, Condensed matter, 95(1), 1994, pp. 113-119
Citations number
18
Categorie Soggetti
Physics, Condensed Matter
Journal title
Zeitschrift fur Physik. B, Condensed matter → ACNP
ISSN journal
07223277
Volume
95
Issue
1
Year of publication
1994
Pages
113 - 119
Database
ISI
SICI code
0722-3277(1994)95:1<113:QBITSO>2.0.ZU;2-E
Abstract
We have studied quantum properties of right triangular billiards as a function of their acute angle alpha. The energy spectrum and wavefunct ion plots with the nodal pattern are provided; symmetry arguments are given for regularities found in the classically integrable cases alpha = 30-degrees and 45-degrees. A comparison of the level spacing distri butions for different alpha confirms the tendency towards level repuls ion in the nonintegrable domain.