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Main Authors: Zhao, Ying-Jie, Ji, Yan-Fang, Yao, Guang-Rui, Li, Xiaojie, Hanif, Muddasir
Format: Preprint
Published: 2017
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Online Access:https://arxiv.org/abs/1702.03498
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author Zhao, Ying-Jie
Ji, Yan-Fang
Yao, Guang-Rui
Li, Xiaojie
Hanif, Muddasir
author_facet Zhao, Ying-Jie
Ji, Yan-Fang
Yao, Guang-Rui
Li, Xiaojie
Hanif, Muddasir
contents This paper provides a concise overview of the comprehensive version of the Generalized Uncertainty Principle (GUP) derived from nonlocal quantum mechanics and extensively addressed by S. Masood, et al. We utilize the specific constraint of this GUP formulation to compute the energy correction and the modified wave function for the linear potential in one dimension. In addition, we examine the impact of deformation on a one-dimensional delta potential well and a one-dimensional delta potential barrier. Furthermore, we specifically focus on the impact of deformation on hydrogen atoms existing in one dimension, and we conduct a distinct investigation into the Stark effect on the atom.
format Preprint
id arxiv_https___arxiv_org_abs_1702_03498
institution arXiv
publishDate 2017
record_format arxiv
spellingShingle One-dimension quantum systems in the framework of the most general deformation GUP form
Zhao, Ying-Jie
Ji, Yan-Fang
Yao, Guang-Rui
Li, Xiaojie
Hanif, Muddasir
Quantum Physics
High Energy Physics - Theory
This paper provides a concise overview of the comprehensive version of the Generalized Uncertainty Principle (GUP) derived from nonlocal quantum mechanics and extensively addressed by S. Masood, et al. We utilize the specific constraint of this GUP formulation to compute the energy correction and the modified wave function for the linear potential in one dimension. In addition, we examine the impact of deformation on a one-dimensional delta potential well and a one-dimensional delta potential barrier. Furthermore, we specifically focus on the impact of deformation on hydrogen atoms existing in one dimension, and we conduct a distinct investigation into the Stark effect on the atom.
title One-dimension quantum systems in the framework of the most general deformation GUP form
topic Quantum Physics
High Energy Physics - Theory
url https://arxiv.org/abs/1702.03498