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Factorization of SturmLiouville operators: solvable potentials and underlying algebraic structure

Factorization of SturmLiouville operators: solvable potentials and underlying algebraic structure In this paper a general method of factorization of SturmLiouville (SL) operators is provided. A method to solve SL eigenvalue problems is presented. New classes of exactly solvable potentials are obtained. The supersymmetry and shape invariance approaches are generalized to the SL operators. It is shown that the SL shape invariance potentials have an underlying algebraic structure. This algebra is in general infinite dimensional. The condition of finite algebra is obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Physics A: Mathematical and General IOP Publishing

Factorization of SturmLiouville operators: solvable potentials and underlying algebraic structure

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Copyright
Copyright 2005 IOP Publishing Ltd
ISSN
0305-4470
eISSN
1361-6447
DOI
10.1088/0305-4470/38/2/007
Publisher site
See Article on Publisher Site

Abstract

In this paper a general method of factorization of SturmLiouville (SL) operators is provided. A method to solve SL eigenvalue problems is presented. New classes of exactly solvable potentials are obtained. The supersymmetry and shape invariance approaches are generalized to the SL operators. It is shown that the SL shape invariance potentials have an underlying algebraic structure. This algebra is in general infinite dimensional. The condition of finite algebra is obtained.

Journal

Journal of Physics A: Mathematical and GeneralIOP Publishing

Published: Jan 14, 2005

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