BOGOMOLNY SECTION FOR THE STADIUM .1. QUANTUM-THEORY

Authors
ORTIZ JSE DEALMEIDA AMO
Citation
Jse. Ortiz et Amo. Dealmeida, BOGOMOLNY SECTION FOR THE STADIUM .1. QUANTUM-THEORY, Journal of physics. A, mathematical and general, 30(21), 1997, pp. 7301-7313
Citations number
13
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
21
Year of publication
1997
Pages
7301 - 7313
Database
ISI
SICI code
0305-4470(1997)30:21<7301:BSFTS.>2.0.ZU;2-G
Abstract
The quarter-stadium can be decomposed into a rectangle and a quarter-c ircle; in each of these the Helmholtz equation is separable. We thus c onstruct Green's functions for both regions and a fully quantum mechan ical Bogomolny matrix. This results in a very efficient algorithm for calculating eigenvalues and eigenfunctions. We discuss the relation of the family of periodic 'bouncing ball' orbits to the contribution of the non-oscillating modes.