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General Forms of a N-fold Supersymmetric Family

Hideaki Aoyama·Masatoshi Sato·Toshiaki Tanaka
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Abstract

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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Hideaki Aoyama, Masatoshi Sato, Toshiaki Tanaka. 2001-04-04. General Forms of a N-fold Supersymmetric Family. https://doi.org/10.1016/s0370-2693(01)00250-7

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