NONCENTRAL POTENTIALS AND SPHERICAL-HARMONICS USING SUPERSYMMETRY ANDSHAPE INVARIANCE

Authors
DUTT R GANGOPADHYAYA A SUKHATME UP
Citation
R. Dutt et al., NONCENTRAL POTENTIALS AND SPHERICAL-HARMONICS USING SUPERSYMMETRY ANDSHAPE INVARIANCE, American journal of physics, 65(5), 1997, pp. 400-403
Citations number
18
Categorie Soggetti
Physics
Journal title
American journal of physics → ACNP
ISSN journal
00029505
Volume
65
Issue
5
Year of publication
1997
Pages
400 - 403
Database
ISI
SICI code
0002-9505(1997)65:5<400:NPASUS>2.0.ZU;2-X
Abstract
It is shown that the operator methods of supersymmetric quantum mechan ics and the concept of shape invariance can profitably be used to deri ve properties of spherical harmonics in a simple way. The same operato r techniques can also be applied to several problems with noncentral v ector and scalar potentials. As examples, we analyze the bound state s pectra of an electron in a Coulomb plus an Aharonov-Bohm field and/or in the magnetic field of a Dirac monopole. (C) 1997 American Associati on of Physics Teachers.