Nonlinear Supersymmetric Quantum Mechanics: concepts and realizations
High Energy Physics - Theory
2015-06-05 v2 Mathematical Physics
math.MP
Quantum Physics
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.
Cite
@article{arxiv.1207.6799,
title = {Nonlinear Supersymmetric Quantum Mechanics: concepts and realizations},
author = {A. A. Andrianov and M. V. Ioffe},
journal= {arXiv preprint arXiv:1207.6799},
year = {2015}
}
Comments
75 pages, Minor corrections, Version published in Journal of Physics A