Noncentral potentials and spherical harmonics using supersymmetry and shape invariance
Nov, 1996
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Abstract:
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 non-central 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.- quantum mechanics
- supersymmetry
- operator
- analysis: harmonic
- potential: scalar
- potential: vector
- electron: bound state
- electric field
- magnetic field: magnetic monopole
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