The generalized uncertainty principle with commuting coordinates-Reference-Cited by-同舟云学术

The generalized uncertainty principle with commuting coordinates

Published:2019-10-28 Issue:33 Volume:34 Page:1950267
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Chung Won Sang¹

Affiliation:

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

Abstract

In this paper, we present a new D-dimensional generalized uncertainty principle (GUP) algebra with commuting coordinates which recovers [Formula: see text] in one dimension. We find two representations for this GUP: momentum representation and position representation. We discuss the GUP-corrected three-dimensional quantum mechanics in position representation for a small [Formula: see text]. Finally, we discuss the momentum wave function and GUP-corrected Fermi metal theory.

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/S0217732319502675

Reference37 articles.

1. Quantized Space-Time

2. On Quantized Space-Time

3. Possible Connection Between Gravitation and Fundamental Length

4. Gravitation and quantum mechanics of macroscopic objects

5. Superstring collisions at planckian energies

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