N-fold Supersymmetry in Quantum Systems with Position-dependent Mass
Tanaka, Toshiaki
arXiv, 0509132 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-09-20
Classification:  Quantum Physics,  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{0509132,
     author = {Tanaka, Toshiaki},
     title = {N-fold Supersymmetry in Quantum Systems with Position-dependent Mass},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0509132}
}

Tanaka, Toshiaki. N-fold Supersymmetry in Quantum Systems with Position-dependent Mass. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0509132/