Noncentral potentials and spherical harmonics using supersymmetry and shape invariance
作者:
Ranabir Dutt,
Asim Gangopadhyaya,
Uday P. Sukhatme,
期刊:
American Journal of Physics
(AIP Available online 1997)
卷期:
Volume 65,
issue 5
页码: 400-403
ISSN:0002-9505
年代: 1997
DOI:10.1119/1.18551
出版商: American Association of Physics Teachers
关键词: 03.65
数据来源: AIP
摘要:
It is shown that the operator methods of supersymmetric quantum mechanics and the concept of shape invariance can profitably be used to derive properties of spherical harmonics in a simple way. The same operator techniques can also be applied to several problems with noncentral vector and scalar potentials. As examples, we analyze the bound state spectra of an electron in a Coulomb plus an Aharonov–Bohm field and/or in the magnetic field of a Dirac monopole.
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