English

Symmetries and Supersymmetries of Generalized Schr\"odinger equations

Mathematical Physics 2020-02-18 v1 math.MP Quantum Physics

Abstract

In this survey the contemporary results concerning supersymmetries in generalized Schr\"odinger equations are presented. Namely, position dependent mass Sch\"odinger equations are discussed as well as the equations with matrix potentials. An extended number of realistic quantum mechanical problems admitting extended supersymmetries is described, an extended class of matrix potentials is classified.

Keywords

Cite

@article{arxiv.2002.06438,
  title  = {Symmetries and Supersymmetries of Generalized Schr\"odinger equations},
  author = {A. G. Nikitin},
  journal= {arXiv preprint arXiv:2002.06438},
  year   = {2020}
}