Generalized uncertainty principle and $D$-dimensional quantum mechanics
Quantum Physics
2020-05-20 v2 High Energy Physics - Theory
Abstract
The non-relativistic quantum mechanics with a generalized uncertainty principle (GUP) is examined in -dimensional free particle and harmonic oscillator systems. The Feynman propagators for these systems are exactly derived within the first order of the GUP parameter.
Cite
@article{arxiv.2003.13856,
title = {Generalized uncertainty principle and $D$-dimensional quantum mechanics},
author = {DaeKil Park},
journal= {arXiv preprint arXiv:2003.13856},
year = {2020}
}
Comments
13 pages, 1 figure, will appear in PRD