Semi-infinite quantum wells in a position-dependent mass background
Quantum Physics
2023-05-04 v2
Abstract
By using a point canonical transformation starting from the constant-mass Schr\"odinger equation for the Morse potential, it is shown that a semi-infinite quantum well model with a non-rectangular profile associated with a position-dependent mass that becomes infinite for some negative value of the position, while going to a constant for a large positive value of the latter, can be easily derived. In addition, another type of semi-infinite quantum well associated with the same position-dependent mass is constructed and solved by starting from the Rosen-Morse II potential instead of the Morse one.
Cite
@article{arxiv.2210.15502,
title = {Semi-infinite quantum wells in a position-dependent mass background},
author = {C. Quesne},
journal= {arXiv preprint arXiv:2210.15502},
year = {2023}
}
Comments
16 pages, 2 figures, published version