Generalized Uncertainty principle and momentum-dependent effective mass Sch\"{r}odinger equation
Quantum Physics
2020-08-26 v1
Abstract
We show in this paper that the basic representations of position and momentum in a quantum mechanical system, that are guided by a generalized uncertainty principle and lead to a corresponding one-parameter eigenvalue problem, can be interpreted in terms of an extended Sch\"{r}odinger equation embodying momentum-dependent mass. Some simple consequences are pointed out.
Keywords
Cite
@article{arxiv.2001.10239,
title = {Generalized Uncertainty principle and momentum-dependent effective mass Sch\"{r}odinger equation},
author = {Bijan Bagchi and Rahul Ghosh and Partha Goswami},
journal= {arXiv preprint arXiv:2001.10239},
year = {2020}
}
Comments
9 pages