Noncentral Potentials and Spherical Harmonics Using Supersymmetry and Shape Invariance

نویسندگان

  • Ranabir Dutt
  • Asim Gangopadhyaya
  • Uday P. Sukhatme
چکیده

It is shown that the operator methods of supersymmetric quantum mechanics and the concept of shape invariance can pro tably 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 eld and/or in the magnetic eld of a Dirac monopole. [email protected] [email protected], [email protected] [email protected]

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تاریخ انتشار 1996