Polynomial SUSY in Quantum Mechanics and Second Derivative Darboux Transformation
High Energy Physics - Theory
2009-10-28 v1
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9404120,
title = {Polynomial SUSY in Quantum Mechanics and Second Derivative Darboux Transformation},
author = {A. A. Andrianov and M. V. Ioffe and D. N. Nishnianidze},
journal= {arXiv preprint arXiv:hep-th/9404120},
year = {2009}
}
Comments
10 pages, LaTeX, preprint SPbU-IP-94-05