A new type of GUP with commuting coordinates-Reference-Cited by-同舟云学术

A new type of GUP with commuting coordinates

Published:2019-10-25 Issue:06 Volume:35 Page:2050018
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Shababi Homa¹,Chung Won Sang²

Affiliation:

1. Center for Theoretical Physics, College of Physical Science and Technology, Sichuan University, Chengdu 610065, P. R. China

2. Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju 660-701, Korea

Abstract

In this paper, using Kempf and Mangano’s generalized uncertainty principle (GUP) [A. Kempf and G. Mangano, Phys. Rev. D 55, 7909 (1997)], we introduce a GUP which is called GUP*. The minimum measurable length predicted by the GUP* leads to the existence of a maximum momentum, in agreement with various previous studies. Then, we investigate some deformed calculus including both exponential and differential cases. Finally, as some applications of this GUP*, we discuss some quantum mechanical problems and obtain the results.

Funder

National Research Foundation of Korea

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732320500182

Reference74 articles.

1. A Stringy Nature Needs Just Two Constants

2. Superstring collisions at planckian energies

3. Can spacetime be probed below the string size?