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arXiv · 1207.6799

Nonlinear Supersymmetric Quantum Mechanics: concepts and realizations

A. A. Andrianov·M. V. Ioffe
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Abstract

Nonlinear SUSY approach to preparation of quantum systems with pre-planned spectral properties is reviewed. Possible multidimensional extensions of Nonlinear SUSY are described. The full classification of ladder-reducible and irreducible chains of SUSY algebras in one-dimensional QM is given. Emergence of hidden symmetries and spectrum generating algebras is elucidated in the context of Nonlinear SUSY in one- and two-dimensional QM.

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A. A. Andrianov, M. V. Ioffe. 2012-07-29. Nonlinear Supersymmetric Quantum Mechanics: concepts and realizations. https://doi.org/10.1088/1751-8113/45/50/503001

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