GUP and Point Interaction
Quantum Physics
2020-03-18 v2 High Energy Physics - Theory
Abstract
The non-relativistic quantum mechanics with the generalized uncertainty principle (GUP) is examined when the potential is one-dimensional function. It is shown that unlike usual quantum mechanics, the Schr\"{o}dinger and Feynman's path-integral approaches are inequivalent at the first order of GUP parameter.
Cite
@article{arxiv.2001.02850,
title = {GUP and Point Interaction},
author = {DaeKil Park and Eylee Jung},
journal= {arXiv preprint arXiv:2001.02850},
year = {2020}
}
Comments
9 pages, no figure V2: will appear in PRD