BOUNDARY INTEGRAL METHOD FOR QUANTUM BILLIARDS IN A CONSTANT MAGNETIC-FIELD

Authors
TIAGO ML DECARVALHO TO DEAGUIAR MAM
Citation
Ml. Tiago et al., BOUNDARY INTEGRAL METHOD FOR QUANTUM BILLIARDS IN A CONSTANT MAGNETIC-FIELD, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(1), 1997, pp. 65-70
Citations number
27
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
55
Issue
1
Year of publication
1997
Part
A
Pages
65 - 70
Database
ISI
SICI code
1063-651X(1997)55:1<65:BIMFQB>2.0.ZU;2-5
Abstract
We derive a boundary integral equation to compute the eigenvalues of t wo-dimensional billiards subjected to a magnetic field. The integral r equires the Green's function of the boundary-free problem with the mag netic field pointing in the opposite direction. This Green's function is computed for the case of a constant magnetic field perpendicular to the billiard and some applications ate discussed. The elliptical bill iard is then studied numerically as an example of a nontrivial applica tion.