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A new family of N-fold supersymmetry: type B

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González López, Artemio and Tanaka, Toshiaki (2004) A new family of N-fold supersymmetry: type B. Physics Letters B, 586 (1-feb). pp. 117-124. ISSN 0370-2693

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Official URL: http://dx.doi.org/10.1016/j.physletb.2003.10.119


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Abstract

We construct a new family of N -fold supersymmetric systems which is referred to as “type B”. A higher-derivative
representation of the N -fold supercharge for this new family is given by a deformation of the type A N -fold supercharge.
By utilizing the same method as in the sl(2) construction of type A N -fold supersymmetry, we show that this family includes
two of the quasi-solvable models of Post–Turbiner type


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Additional Information:

©2004 Elsevier B.V..
This work was partially supported by the DGI under grant No. BFM2002-02646 (A.G.-L.) and by a JSPS research fellowship (T.T.). One of us (T.T.) would like to thank A.A. Andrianov and M. Sato for useful discussions, as well as all the members of the Departamento de Física Teórica II, Universidad Complutense, for their kind hospitality during his stay.

Uncontrolled Keywords:Higher-derivative supersymmetry; Quantum-mechanics; Nonlinear supersymmetry; Darboux transformation; Schrodinger-equation; Breakdown; Systems; Susy; Factorization; Construction
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:32857
Deposited On:24 Aug 2015 13:33
Last Modified:10 Dec 2018 15:09

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