ACCIDENTAL DEGENERACY IN A SIMPLE QUANTUM SYSTEM - A NEW SYMMETRY GROUP FOR A PARTICLE IN AN IMPENETRABLE SQUARE-WELL POTENTIAL

Authors
LEYVRAZ F FRANK A LEMUS R ANDRES MV
Citation
F. Leyvraz et al., ACCIDENTAL DEGENERACY IN A SIMPLE QUANTUM SYSTEM - A NEW SYMMETRY GROUP FOR A PARTICLE IN AN IMPENETRABLE SQUARE-WELL POTENTIAL, American journal of physics, 65(11), 1997, pp. 1087-1094
Citations number
20
Categorie Soggetti
Physics
Journal title
American journal of physics → ACNP
ISSN journal
00029505
Volume
65
Issue
11
Year of publication
1997
Pages
1087 - 1094
Database
ISI
SICI code
0002-9505(1997)65:11<1087:ADIASQ>2.0.ZU;2-V
Abstract
The two-dimensional square-well potential is one of the simplest quant um-mechanical systems that exhibits accidental degeneracy. We show tha t the double degeneracy present is a consequence of a dynamical symmet ry and derive a new symmetry group associated with the system. (C) 199 7 American Association of Physics Teachers.