QUANTUM BILLIARDS IN THE SHAPE OF RIGHT TRIANGLES

SCHACHNER, HC and OBERMAIR, GM (1994) QUANTUM BILLIARDS IN THE SHAPE OF RIGHT TRIANGLES. ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 95 (1). pp. 113-119. ISSN 0722-3277,

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Abstract

We have studied quantum properties of right triangular billiards as a function of their acute angle alpha. The energy spectrum and wavefunction 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 distributions for different alpha confirms the tendency towards level repulsion in the nonintegrable domain.

Item Type: Article
Uncontrolled Keywords: ENERGY-LEVEL STATISTICS; ERGODIC PROPERTIES; SYSTEMS;
Depositing User: Dr. Gernot Deinzer
Last Modified: 19 Oct 2022 08:40
URI: https://pred.uni-regensburg.de/id/eprint/53273

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