Matrix superpotentials and superintegrable systems for arbitrary spin
Mathematical Physics
2015-06-03 v3 High Energy Physics - Theory
math.MP
Abstract
A countable set of quantum superintegrable systems for arbitrary spin is solved explicitly using tools of supersymmetric quantum mechanics. It is shown that these systems (introduced by Pronko, J. Phys. A: Math. Theor. 40 (2007) ) include matrix shape invariant potentials classified recently in A. G. Nikitin and Y. Karadzhov, J. Phys. A: 44 (2011) 305204; J. Phys. A: 44 (2011) 445202.
Cite
@article{arxiv.1201.4929,
title = {Matrix superpotentials and superintegrable systems for arbitrary spin},
author = {A. G. Nikitin},
journal= {arXiv preprint arXiv:1201.4929},
year = {2015}
}
Comments
15 pages