N-fold Supersymmetry in Quantum Mechanical Matrix Models

Details N-fold Supersymmetry in Quantum Mechanical Matrix Models N-fold Supersymmetry in Quantum Mechanical Matrix Models

2011-08-02

arxiv.org/abs/1108.0480v2

Mod.Phys.Lett.A 27 (2012) 1250051

Physics

Mathematical Physics

9 pages, no figures; minor revision

Scientific paper

10.1142/S0217732312500514

We formulate N-fold supersymmetry in quantum mechanical matrix models. As an example, we construct general two-by-two Hermitian matrix 2-fold supersymmetric quantum mechanical systems. We find that there are two inequivalent such systems, both of which are characterized by two arbitrary scalar functions, and one of which does not reduce to the scalar system. The obtained systems are all weakly quasi-solvable.

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