On General Form of N-fold Supersymmetry
Mathematical Physics
2011-11-03 v2 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We analyze general structure of N-fold supersymmetry which provides a systematic framework to construct weakly quasi-solvable quantum mechanical systems. Main ingredients of our analysis are dimensional analysis and introduction of an equivalent class of linear differential operators associated with N-fold supersymmetry for each N. To illustrate how they work, we construct the most general form of N-fold supersymmetric systems for N=2, 3, and 4.
Keywords
Cite
@article{arxiv.1107.1035,
title = {On General Form of N-fold Supersymmetry},
author = {Toshiaki Tanaka},
journal= {arXiv preprint arXiv:1107.1035},
year = {2011}
}
Comments
19 pages, no figures; Lengthy formulas summarized in Appendix, to appear in Journal of Physics A