N-fold Supersymmetry in Quantum Systems with Position-dependent Mass

Details N-fold Supersymmetry in Quantum Systems with Position-dependent Mass N-fold Supersymmetry in Quantum Systems with Position-dependent Mass

2005-09-20

arxiv.org/abs/quant-ph/0509132v2

J. Phys. A: Math. Gen. 39 (2006) 219-234

Physics

Quantum Physics

18 pages, no figures; Refs. updated, typos corrected

Scientific paper

10.1088/0305-4470/39/1/016

We formulate the framework of N-fold supersymmetry in one-body quantum mechanical systems with position-dependent mass (PDM). We show that some of the significant properties in the constant-mass case such as the equivalence to weak quasi-solvability also hold in the PDM case. We develop a systematic algorithm for constructing an N-fold supersymmetric PDM system. We apply it to obtain type A N-fold supersymmetry in the case of PDM, which is characterized by the so-called type A monomial space. The complete classification and general form of effective potentials for type A N-fold supersymmetry in the PDM case are given.

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