Nonlinear supersymmetry for spectral design in quantum mechanics

@article{Andrianov2004NonlinearSF,
  title={Nonlinear supersymmetry for spectral design in quantum mechanics},
  author={A. A. Andrianov and U. F.CannataSankt-PetersburgState and Infn and Bologna},
  journal={Journal of Physics A},
  year={2004},
  volume={37},
  pages={10297-10321}
}
A 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) 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… 
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