Noncentral Potentials and Spherical Harmonics Using Supersymmetry and Shape Invariance

Ranabir Dutt; Asim Gangopadhyaya; Uday P. Sukhatne

doi:10.1119/1.18551

Noncentral Potentials and Spherical Harmonics Using Supersymmetry and Shape Invariance

Ranabir Dutt, Asim Gangopadhyaya, Uday P. Sukhatne

Department of Physics

Research output: Contribution to journal › Article › peer-review

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 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.

Original language	American English
Journal	Physics: Faculty Publications and Other Works
Volume	65
DOIs	https://doi.org/10.1119/1.18551
State	Published - Sep 25 1996

Keywords

spherical harmonics
supersymmetry
shape invariance

Disciplines

Other Physics
Physics
Quantum Physics

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title = "Noncentral Potentials and Spherical Harmonics Using Supersymmetry and Shape Invariance",

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 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.",

keywords = "spherical harmonics, supersymmetry, shape invariance",

author = "Ranabir Dutt and Asim Gangopadhyaya and Sukhatne, {Uday P.}",

note = "Dutt, R., Gangopadhyaya, A., and Sukhatme, U.P. (1997). Noncentral potentials and spherical harmonics using supersymmetry and shape invariance. American Journal of Physics, 65, 400-403.",

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AU - Sukhatne, Uday P.

N1 - Dutt, R., Gangopadhyaya, A., and Sukhatme, U.P. (1997). Noncentral potentials and spherical harmonics using supersymmetry and shape invariance. American Journal of Physics, 65, 400-403.

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Y1 - 1996/9/25

N2 - 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.

AB - 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.

KW - spherical harmonics

KW - supersymmetry

KW - shape invariance

UR - https://ecommons.luc.edu/physics_facpubs/22

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DO - 10.1119/1.18551

M3 - Article

VL - 65

JO - Physics: Faculty Publications and Other Works

JF - Physics: Faculty Publications and Other Works

ER -

Noncentral Potentials and Spherical Harmonics Using Supersymmetry and Shape Invariance

Abstract

Keywords

Disciplines

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