The factorization method, self-similar potentials and quantum algebras

Details The factorization method, self-similar potentials and quantum algebras The factorization method, self-similar potentials and quantum algebras

2003-02-07

arxiv.org/abs/hep-th/0302046v1

in: Special Functions 2000: Current Perspective and Future Directions (Kluwer, Dordrecht, 2001) pp. 335-364

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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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