Broken Supersymmetric Shape Invariant Systems and Their Potential Algebras

Details Broken Supersymmetric Shape Invariant Systems and Their Potential Algebras Broken Supersymmetric Shape Invariant Systems and Their Potential Algebras

2001-03-08

arxiv.org/abs/hep-th/0103054v1

Phys.Lett. A283 (2001) 279-284

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 10 pages

Scientific paper

10.1016/S0375-9601(01)00266-3

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.

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