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

dc.creatorTanaka, Toshiaki
dc.date2005-09-20
dc.date2005-12-08
dc.date.accessioned2026-07-07T06:43:44Z
dc.date.available2026-07-07T06:43:44Z
dc.descriptionWe 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.
dc.description18 pages, no figures; Refs. updated, typos corrected
dc.identifierhttps://arxiv.org/abs/quant-ph/0509132
dc.identifierhttp://arxiv.org/abs/quant-ph/0509132
dc.identifierJ. Phys. A: Math. Gen. 39 (2006) 219-234
dc.identifierdoi:10.1088/0305-4470/39/1/016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102528
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleN-fold Supersymmetry in Quantum Systems with Position-dependent Mass
dc.typetext

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