QUANTAL CONSEQUENCES OF PERTURBATIONS WHICH DESTROY STRUCTURALLY UNSTABLE ORBITS IN CHAOTIC BILLIARDS

Authors
PRIMACK H SMILANSKY U
Citation
H. Primack et U. Smilansky, QUANTAL CONSEQUENCES OF PERTURBATIONS WHICH DESTROY STRUCTURALLY UNSTABLE ORBITS IN CHAOTIC BILLIARDS, Journal of physics. A, mathematical and general, 27(13), 1994, pp. 4439-4448
Citations number
9
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
13
Year of publication
1994
Pages
4439 - 4448
Database
ISI
SICI code
0305-4470(1994)27:13<4439:QCOPWD>2.0.ZU;2-Y
Abstract
Non-generic contributions to the quantal level density from parallel s egments in billiards are investigated. These contributions are due to the existence of marginally stable families of periodic orbits, which are structurally unstable, in the sense that small perturbations, such as a slight tilt of one of the segments, destroy them completely. We investigate the effects of such perturbations on the corresponding qua ntum spectra, and demonstrate them for the stadium billiard.