N-fold Supersymmetry in Quantum Systems with Position-dependent Mass
Quantum Physics
2007-05-23 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.quant-ph/0509132,
title = {N-fold Supersymmetry in Quantum Systems with Position-dependent Mass},
author = {Toshiaki Tanaka},
journal= {arXiv preprint arXiv:quant-ph/0509132},
year = {2007}
}
Comments
18 pages, no figures; Refs. updated, typos corrected