N-fold Supersymmetry in Quantum Mechanical Matrix Models

Abstract

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.

9 pages, no figures; minor revision

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Cited by in corpus (6)

• Nonlinear Supersymmetric Quantum Mechanics: concepts and realizations
• Spectral Design for Matrix Hamiltonians: Different Methods of Constructing of a Matrix Intertwining Operator
• Polynomial Supersymmetry for Matrix Hamiltonians
• Minimal Realizations of Supersymmetry for Matrix Hamiltonians
• N-fold Supersymmetric Quantum Mechanics with Reflections
• Two-step Shape Invariance in the Framework of N-fold Supersymmetry