On General Form of N-fold Supersymmetry

Details On General Form of N-fold Supersymmetry On General Form of N-fold Supersymmetry

2011-07-06

arxiv.org/abs/1107.1035v2

J.Phys.A:Math.Theor. 44 (2011) 465301

Physics

Mathematical Physics

19 pages, no figures; Lengthy formulas summarized in Appendix, to appear in Journal of Physics A

Scientific paper

10.1088/1751-8113/44/46/465301

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.

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