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

Toshiaki Tanaka
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Abstract

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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Toshiaki Tanaka. 2005-12-08. N-fold Supersymmetry in Quantum Systems with Position-dependent Mass. https://doi.org/10.1088/0305-4470%2F39%2F1%2F016

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