The factorization method, self-similar potentials and quantum algebras

2003/02/07 by V. P. Spiridonov
Physics and Astronomy · #hep-th

paper · pdf

published as in: Special Functions 2000: Current Perspective and Future Directions (Kluwer, Dordrecht, 2001) pp. 335-364 · 39 pp. A lecture at the NATO Advanced Study Institute on special functions (Tempe, USA, May 29-June 9, 2000)

arxiv created 2003/02/07 · arxiv updated 2009/11/30

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.

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