Supersymmetric Construction of three-dimensional isospectral systems
Quantum Physics
2009-11-13 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Three-dimensional isospectral systems are constructed using the framework of supersymmetric quantum mechanics. In case the supercharge of first order in momentum is used, it is proved that the constructed systems reduce to a trivial generalization of one-dimensional systems. In case the second order supercharge is used, nontrivial three-dimensional isospectral systems are constructed.
Cite
@article{arxiv.0706.1613,
title = {Supersymmetric Construction of three-dimensional isospectral systems},
author = {Yoshihide Yamada},
journal= {arXiv preprint arXiv:0706.1613},
year = {2009}
}