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N-fold Supersymmetry in Quantum Systems with Position-dependent Mass | | Toshiaki Tanaka
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20 Sep 2005 | | Subject: | Quantum Physics; Mathematical Physics; Exactly Solvable and Integrable Systems | quant-ph math-ph math.MP nlin.SI | | 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 PDM type A N-fold supersymmetry are given. | | Source: | arXiv, quant-ph/0509132 | | Services: | Forum | Review | PDF | Favorites | |
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