Polynomial SUSY in Quantum Mechanics and Second Derivative Darboux Transformation

Details Polynomial SUSY in Quantum Mechanics and Second Derivative Darboux Transformation Polynomial SUSY in Quantum Mechanics and Second Derivative Darboux Transformation

1994-04-19

arxiv.org/abs/hep-th/9404120v1

Phys.Lett. A201 (1995) 103

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX, preprint SPbU-IP-94-05

Scientific paper

10.1016/0375-9601(95)00248-2

We give the classification of second-order polynomial SUSY Quantum Mechanics
in one and two dimensions. The particular attention is paid to the irreducible
supercharges which cannot be built by repetition of ordinary Darboux
transformations. In two dimensions it is found that the binomial superalgebra
leads to the dynamic symmetry generated by a central charge operator.

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