A Novel Multi-parameter Family of Quantum Systems with Partially Broken N-fold Supersymmetry

Abstract

We develop a systematic algorithm for constructing an N-fold supersymmetric system from a given vector space invariant under one of the supercharges. Applying this algorithm to spaces of monomials, we construct a new multi-parameter family of N-fold supersymmetric models, which shall be referred to as "type C". We investigate various aspects of these type C models in detail. It turns out that in certain cases these systems exhibit a novel phenomenon, namely, partial breaking of N-fold supersymmetry.

RevTeX 4, 28 pages, no figures

References in corpus (1)

• A New Family of N-fold Supersymmetry: Type B

Cited by in corpus (4)

• N-fold Supersymmetry in Quantum Systems with Position-dependent Mass
• Simultaneous Ordinary and Type A N-fold Supersymmetries in Schroedinger, Pauli, and Dirac Equations
• Quasi-exact solvability and intertwining relations
• A New Construction of Quasi-solvable Quantum Many-body Systems of Deformed Calogero-Sutherland Type