English

The factorization method, self-similar potentials and quantum algebras

High Energy Physics - Theory 2007-05-23 v1

Abstract

This is a brief review of the Schrodinger's factorization method and its relations to supersymmetric quantum mechanics and its nonlinear (parastatistical, etc) modifications, self-similar infinite soliton potentials, quantum algebras, coherent states, Ising chains, discretized random matrices and 2D lattice Coulomb gases.

Keywords

Cite

@article{arxiv.hep-th/0302046,
  title  = {The factorization method, self-similar potentials and quantum algebras},
  author = {V. P. Spiridonov},
  journal= {arXiv preprint arXiv:hep-th/0302046},
  year   = {2007}
}

Comments

39 pp. A lecture at the NATO Advanced Study Institute on special functions (Tempe, USA, May 29-June 9, 2000)