Broken Supersymmetric Shape Invariant Systems and Their Potential Algebras

Asim Gangopadhyaya; Jeffrey Mallow; Uday P. Sukhatne

Broken Supersymmetric Shape Invariant Systems and Their Potential Algebras

Asim Gangopadhyaya
, Jeffrey Mallow
, Uday P. Sukhatne

Department of Physics

Loyola University Chicago
University of Illinois at Chicago

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

Abstract

Although eigenspectra of one dimensional shape invariant potentials with unbroken supersymmetry are easily obtained, this procedure is not applicable when the parameters in these potentials correspond to broken supersymmetry, since there is no zero energy eigenstate. We describe a novel two-step shape invariance approach as well as a group theoretic potential algebra approach for solving such broken supersymmetry problems.

Original language	American English
Journal	Physics: Faculty Publications and Other Works
Volume	283
State	Published - Mar 8 2001

Keywords

supersymmetry

Disciplines

Physics
Quantum Physics

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Cite this

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title = "Broken Supersymmetric Shape Invariant Systems and Their Potential Algebras",

abstract = " Although eigenspectra of one dimensional shape invariant potentials with unbroken supersymmetry are easily obtained, this procedure is not applicable when the parameters in these potentials correspond to broken supersymmetry, since there is no zero energy eigenstate. We describe a novel two-step shape invariance approach as well as a group theoretic potential algebra approach for solving such broken supersymmetry problems.",

keywords = "supersymmetry",

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

note = "Gangopadhyaya, A, J Mallow, U Sukhatme. {"}Broken supersymmetric shape invariant systems and their potential algebras.{"} arxiv.org/pdf/hep-th/0103054.pdf",

year = "2001",

month = mar,

day = "8",

language = "American English",

volume = "283",

journal = "Physics: Faculty Publications and Other Works",

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TY - JOUR

T1 - Broken Supersymmetric Shape Invariant Systems and Their Potential Algebras

AU - Gangopadhyaya, Asim

AU - Mallow, Jeffrey

AU - Sukhatne, Uday P.

N1 - Gangopadhyaya, A, J Mallow, U Sukhatme. "Broken supersymmetric shape invariant systems and their potential algebras." arxiv.org/pdf/hep-th/0103054.pdf

PY - 2001/3/8

Y1 - 2001/3/8

N2 - Although eigenspectra of one dimensional shape invariant potentials with unbroken supersymmetry are easily obtained, this procedure is not applicable when the parameters in these potentials correspond to broken supersymmetry, since there is no zero energy eigenstate. We describe a novel two-step shape invariance approach as well as a group theoretic potential algebra approach for solving such broken supersymmetry problems.

AB - Although eigenspectra of one dimensional shape invariant potentials with unbroken supersymmetry are easily obtained, this procedure is not applicable when the parameters in these potentials correspond to broken supersymmetry, since there is no zero energy eigenstate. We describe a novel two-step shape invariance approach as well as a group theoretic potential algebra approach for solving such broken supersymmetry problems.

KW - supersymmetry

UR - https://ecommons.luc.edu/physics_facpubs/37

M3 - Article

VL - 283

JO - Physics: Faculty Publications and Other Works

JF - Physics: Faculty Publications and Other Works

ER -

Broken Supersymmetric Shape Invariant Systems and Their Potential Algebras

Abstract

Keywords

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