New Solvable Shape-Invariant Potentials for Position-Dependent Effective Mass
Mathematical Physics
2007-05-25 v1 math.MP
Abstract
Four new exactly solvable, real and shape-invariant potentials associated with a position-dependent effective mass are generated within the concept of shape-invariant potentials using a specific ansatz for superpotential. The accompanying energy spectra of the bound-state and the ground-state wavefunction are obtained algebraically as a function of free parameters and the results are compared with those of others works in the litterature.
Cite
@article{arxiv.0704.3425,
title = {New Solvable Shape-Invariant Potentials for Position-Dependent Effective Mass},
author = {S. -A. Yahiaoui and H. Zerguini and M. Bentaiba},
journal= {arXiv preprint arXiv:0704.3425},
year = {2007}
}