Physics – Quantum Physics
Scientific paper
2007-10-30
J.Math.Sci.143:2707-2722,2007
Physics
Quantum Physics
16 pages
Scientific paper
We study possible factorizations of supersymmetric (SUSY) transformations in the one-dimensional quantum mechanics into chains of elementary Darboux transformations with nonsingular coefficients. A classification of irreducible (almost) isospectral transformations and of related SUSY algebras is presented. The detailed analysis of SUSY algebras and isospectral operators is performed for the third-order case.
Andrianov Alexander A.
Sokolov Alexei V.
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