Nonlinear Supersymmetric Quantum Mechanics: concepts and realizations
  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. 
A. A. Andrianov and M. V. Ioffe
hep-th math-ph math.MP quant-ph