English

Broken Supersymmetric Shape Invariant Systems and Their Potential Algebras

High Energy Physics - Theory 2009-11-07 v1 Mathematical Physics math.MP Quantum Physics

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

Cite

@article{arxiv.hep-th/0103054,
  title  = {Broken Supersymmetric Shape Invariant Systems and Their Potential Algebras},
  author = {Asim Gangopadhyaya and Jeffry V. Mallow and Uday P. Sukhatme},
  journal= {arXiv preprint arXiv:hep-th/0103054},
  year   = {2009}
}

Comments

Latex file, 10 pages