Exact Solutions of the Schroedinger Equation: Connection between Supersymmetric Quantum Mechanics and Spectrum Generating Algebras

Asim Gangopadhyaya; Jeffrey Mallow; C. Rasinariu; Uday P. Sukhatne

Exact Solutions of the Schroedinger Equation: Connection between Supersymmetric Quantum Mechanics and Spectrum Generating Algebras

Asim Gangopadhyaya, Jeffrey Mallow, C. Rasinariu, Uday P. Sukhatne

Department of Physics

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

Abstract

Using supersymmetric quantum mechanics, one can obtain analytic expressions for the eigenvalues and eigenfunctions for all nonrelativistic shape invariant Hamiltonians. These Hamiltonians also possess spectrum generating algebras and are hence solvable by an independent, group theoretical method. In this paper, we demonstrate the equivalence of the two methods of solution, and review related progress in this field.

Original language	American English
Journal	Physics: Faculty Publications and Other Works
Volume	39
Issue number	2
State	Published - Apr 1 2001

Keywords

supersymmetry
quantum physics
Hamiltonians

Disciplines

Physics
Quantum Physics

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title = "Exact Solutions of the Schroedinger Equation: Connection between Supersymmetric Quantum Mechanics and Spectrum Generating Algebras",

abstract = " Using supersymmetric quantum mechanics, one can obtain analytic expressions for the eigenvalues and eigenfunctions for all nonrelativistic shape invariant Hamiltonians. These Hamiltonians also possess spectrum generating algebras and are hence solvable by an independent, group theoretical method. In this paper, we demonstrate the equivalence of the two methods of solution, and review related progress in this field.",

keywords = "supersymmetry, quantum physics, Hamiltonians",

author = "Asim Gangopadhyaya and Jeffrey Mallow and C. Rasinariu and Sukhatne, {Uday P.}",

note = "Gangopadhyaya, A, J Mallow, R Asinariu, and U Sukhatme. {"}Exact solutions of the schroedinger equation: connection between supersymmetric quantum mechanics and spectrum generating algebras{"} in Chinese Journal of Physics 39(2), 2001.",

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AU - Sukhatne, Uday P.

N1 - Gangopadhyaya, A, J Mallow, R Asinariu, and U Sukhatme. "Exact solutions of the schroedinger equation: connection between supersymmetric quantum mechanics and spectrum generating algebras" in Chinese Journal of Physics 39(2), 2001.

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N2 - Using supersymmetric quantum mechanics, one can obtain analytic expressions for the eigenvalues and eigenfunctions for all nonrelativistic shape invariant Hamiltonians. These Hamiltonians also possess spectrum generating algebras and are hence solvable by an independent, group theoretical method. In this paper, we demonstrate the equivalence of the two methods of solution, and review related progress in this field.

AB - Using supersymmetric quantum mechanics, one can obtain analytic expressions for the eigenvalues and eigenfunctions for all nonrelativistic shape invariant Hamiltonians. These Hamiltonians also possess spectrum generating algebras and are hence solvable by an independent, group theoretical method. In this paper, we demonstrate the equivalence of the two methods of solution, and review related progress in this field.

KW - supersymmetry

KW - quantum physics

KW - Hamiltonians

UR - https://ecommons.luc.edu/physics_facpubs/40

M3 - Article

VL - 39

JO - Physics: Faculty Publications and Other Works

JF - Physics: Faculty Publications and Other Works

IS - 2

ER -

Exact Solutions of the Schroedinger Equation: Connection between Supersymmetric Quantum Mechanics and Spectrum Generating Algebras

Abstract

Keywords

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