The factorization method, self-similar potentials and quantum algebras
Abstract
Description
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.
39 pp. A lecture at the NATO Advanced Study Institute on special functions (Tempe, USA, May 29-June 9, 2000)
39 pp. A lecture at the NATO Advanced Study Institute on special functions (Tempe, USA, May 29-June 9, 2000)