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arXiv · hep-th/0407077

Nonlinear Supersymmetry for Spectral Design in Quantum Mechanics

A. A. Andrianov·F. Cannata
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Abstract

Nonlinear (Polynomial, N-fold) SUSY approach to preparation of quantum systems with pre-planned spectral properties is reviewed. The full classification of ladder-reducible and irreducible chains of SUSY algebras in one-dimensional QM is given. Possible extensions of SUSY in one dimension are described. They include (no more than) ${\cal N} =2$ extended SUSY with two nilpotent SUSY charges which generate the hidden symmetry acting as a central charge. Embedding stationary quantum systems into a non-stationary SUSY QM is shown to yield new insight on quantum orbits and on spectrum generating algebras.

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A. A. Andrianov, F. Cannata. 2004-07-18. Nonlinear Supersymmetry for Spectral Design in Quantum Mechanics. https://doi.org/10.1088/0305-4470%2F37%2F43%2F019

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