# Nonlinear supersymmetric quantum mechanics: concepts and realizations

@article{Andrianov2012NonlinearSQ, title={Nonlinear supersymmetric quantum mechanics: concepts and realizations}, author={A. A. Andrianov and Mikhail V. Ioffe}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2012}, volume={45} }

The nonlinear supersymmetric (SUSY) approach to spectral problems in quantum mechanics (QM) is reviewed. Its building from the chains (ladders) of linear SUSY systems is outlined and different one-dimensional and two-dimensional realizations are described. It is elaborated how the nonlinear SUSY approach provides two new methods of SUSY separation of variables for various two-dimensional models. In the framework of these methods, a partial and/or complete solution of some two-dimensional models…

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