General Forms of a N-fold Supersymmetric Family

Details General Forms of a N-fold Supersymmetric Family General Forms of a N-fold Supersymmetric Family

2000-12-14

arxiv.org/abs/quant-ph/0012065v3

Phys.Lett. B503 (2001) 423-429

Physics

Quantum Physics

11pages, REVTeX, few errata corrected

Scientific paper

10.1016/S0370-2693(01)00250-7

We report general forms of one family of the N-fold supersymmetry in one-dimensional quantum mechanics. The N-fold supersymmetry is characterized by the supercharges which are N-th order in differential operators. The family reported here is defined as a particular form of the supercharges and is referred to as ``type A''. We show that a quartic and a periodic potentials, which were previously found to be N-fold supersymmetric by the authors, are realized as special cases of this type A family.

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