EIGENVALUES AND EIGENFUNCTIONS OF BILLIARDS IN A CONSTANT MAGNETIC-FIELD

Authors
DEAGUIAR MAM
Citation
Mam. Deaguiar, EIGENVALUES AND EIGENFUNCTIONS OF BILLIARDS IN A CONSTANT MAGNETIC-FIELD, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(5), 1996, pp. 4555-4561
Citations number
32
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
53
Issue
5
Year of publication
1996
Part
A
Pages
4555 - 4561
Database
ISI
SICI code
1063-651X(1996)53:5<4555:EAEOBI>2.0.ZU;2-J
Abstract
We present a simple and efficient numerical method to compute the eige nvalues and eigenfunctions of two-dimensional billiards subjected to a constant magnetic field in the perpendicular direction. As examples w e present results for the circular billiard, where the method is parti cularly simple, and for the square billiard, which is nonintegrable fo r nonzero fields.