Algebraic Shape Invariant Models

S Chaturvedi; Ranabir Dutt; Asim Gangopadhyaya; Prasanta K. Panigrahi; C. Rasinariu; Uday P. Sukhatme

doi:10.1016/S0375-9601(98)00636-7

Algebraic Shape Invariant Models

S Chaturvedi, Ranabir Dutt, Asim Gangopadhyaya, Prasanta K. Panigrahi, C. Rasinariu, Uday P. Sukhatme

Department of Physics

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

Abstract

Motivated by the shape invariance condition in supersymmetric quantum mechanics, we develop an algebraic framework for shape invariant Hamiltonians with a general change of parameters. This approach involves nonlinear generalizations of Lie algebras. Our work extends previous results showing the equivalence of shape invariant potentials involving translational change of parameters with standard SO (2,1) potential algebra for Natanzon type potentials.

Original language	American English
Journal	Physics: Faculty Publications and Other Works
Volume	251
Issue number	6
DOIs	https://doi.org/10.1016/S0375-9601(98)00636-7
State	Published - Jul 10 1998

Keywords

Hamiltonians
supersymmetry

Disciplines

Physics
Quantum Physics

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title = "Algebraic Shape Invariant Models",

abstract = " Motivated by the shape invariance condition in supersymmetric quantum mechanics, we develop an algebraic framework for shape invariant Hamiltonians with a general change of parameters. This approach involves nonlinear generalizations of Lie algebras. Our work extends previous results showing the equivalence of shape invariant potentials involving translational change of parameters with standard SO (2,1) potential algebra for Natanzon type potentials.",

keywords = "Hamiltonians, supersymmetry",

author = "S Chaturvedi and Ranabir Dutt and Asim Gangopadhyaya and Panigrahi, {Prasanta K.} and C. Rasinariu and Sukhatme, {Uday P.}",

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AU - Chaturvedi, S

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AU - Gangopadhyaya, Asim

AU - Panigrahi, Prasanta K.

AU - Rasinariu, C.

AU - Sukhatme, Uday P.

PY - 1998/7/10

Y1 - 1998/7/10

N2 - Motivated by the shape invariance condition in supersymmetric quantum mechanics, we develop an algebraic framework for shape invariant Hamiltonians with a general change of parameters. This approach involves nonlinear generalizations of Lie algebras. Our work extends previous results showing the equivalence of shape invariant potentials involving translational change of parameters with standard SO (2,1) potential algebra for Natanzon type potentials.

AB - Motivated by the shape invariance condition in supersymmetric quantum mechanics, we develop an algebraic framework for shape invariant Hamiltonians with a general change of parameters. This approach involves nonlinear generalizations of Lie algebras. Our work extends previous results showing the equivalence of shape invariant potentials involving translational change of parameters with standard SO (2,1) potential algebra for Natanzon type potentials.

KW - Hamiltonians

KW - supersymmetry

UR - https://ecommons.luc.edu/physics_facpubs/34

U2 - 10.1016/S0375-9601(98)00636-7

DO - 10.1016/S0375-9601(98)00636-7

M3 - Article

VL - 251

JO - Physics: Faculty Publications and Other Works

JF - Physics: Faculty Publications and Other Works

IS - 6

ER -

Algebraic Shape Invariant Models

Abstract

Keywords

Disciplines

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