On General Form of N-fold Supersymmetry

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.

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

References in corpus (4)

• N-fold Supersymmetry in Quantum Systems with Position-dependent Mass
• Nonlinear Pseudo-Supersymmetry in the Framework of N-fold Supersymmetry
• A New Family of N-fold Supersymmetry: Type B
• A Novel Multi-parameter Family of Quantum Systems with Partially Broken N-fold Supersymmetry

Cited by in corpus (4)

• Nonlinear Supersymmetric Quantum Mechanics: concepts and realizations
• N-fold Supersymmetry in Quantum Mechanical Matrix Models
• N-fold Supersymmetric Quantum Mechanics with Reflections
• Type B 3-fold Supersymmetry and Non-polynomial Invariant Subspaces