Semiclassical analysis of spectral correlations in regular billiards with point scatterers
Journal Article
·
· Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
- Laboratoire de Physique de la Matiere Condensee, CNRS URA 190, Universite de Nice-Sophia Antipolis, Parc Valrose, 06108 Nice Cedex 2 (France)
A semiclassical analysis is proposed to elucidate quantitatively the deviations from the predictions of the random matrix theory of the observed conditional number density in rectangular billiards with point scatterers [R. L. Weaver and D. Sornette, Phys. Rev. E {bold 52}, 3341 (1995)]. Using the scattering cross section of the point scatterer, the spectral form factor is shown to be built on two categories of periodic orbits depending whether they are scattered or not. Our quantitative predictions are successfully compared to the observed spectral correlations in various cases of a rectangular billiard with one or several point scatterers. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 657426
- Journal Information:
- Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 6 Vol. 55; ISSN 1063-651X; ISSN PLEEE8
- Country of Publication:
- United States
- Language:
- English
Similar Records
Semiclassical analysis of response functions for integrable systems
Spectral properties of three-dimensional quantum billiards with a pointlike scatterer
Comment on {open_quotes}Temperature dependence of electronic states in (TaSe{sub 4}){sub 2}I{close_quotes}
Journal Article
·
Mon Mar 31 23:00:00 EST 1997
· Physical Review, B: Condensed Matter
·
OSTI ID:561607
Spectral properties of three-dimensional quantum billiards with a pointlike scatterer
Journal Article
·
Sun Jun 01 00:00:00 EDT 1997
· Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
·
OSTI ID:548814
Comment on {open_quotes}Temperature dependence of electronic states in (TaSe{sub 4}){sub 2}I{close_quotes}
Journal Article
·
Fri Oct 31 23:00:00 EST 1997
· Physical Review, B: Condensed Matter
·
OSTI ID:553097