Classification of Type A N-fold supersymmetry

Abstract

Type A N-fold supersymmetry of one-dimensional quantum mechanics can be constructed by using sl(2) generators represented on a finite dimensional functional space. Using this sl(2) formalism we show a general method of constructing Type A N-fold supersymmetric models. We also present systematic generation of known models and several new models using this method.

15 pages in LaTeX2e, some comments and a reference added

References in corpus (2)

• General Forms of a N-fold Supersymmetric Family
• Nonlinear Supersymmetry, Quantum Anomaly and Quasi-Exactly Solvable Systems

Cited by in corpus (10)

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• Type A N-fold Supersymmetry and Generalized Bender-Dunne Polynomials
• Generalised Heine-Stieltjes and Van Vleck polynomials associated with degenerate, integrable BCS models
• N-fold Supersymmetry in Quantum Mechanics - Analyses of Particular Models -
• Hyperconfluent third-order supersymmetric quantum mechanics
• sl(M+1) Construction of Quasi-solvable Quantum M-body Systems
• A Family of Quasi-solvable Quantum Many-body Systems