A new type of GUP with commuting coordinates

Shababi, Homa; Chung, Won Sang

doi:10.1142/S0217732320500182

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A new type of GUP with commuting coordinates

Shababi, Homa;
Chung, Won Sang

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11

초록

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.

키워드

Generalized uncertainty principle; minimal length; maximal momentum; GENERALIZED UNCERTAINTY PRINCIPLE; MINIMAL LENGTH UNCERTAINTY; HIGHER-ORDER GUP; HARMONIC-OSCILLATOR; MAXIMAL MOMENTUM; QUANTUM-GRAVITY; THERMODYNAMICS; POSITION; PHYSICS; SCALE

제목: A new type of GUP with commuting coordinates

저자: Shababi, Homa; Chung, Won Sang

DOI: 10.1142/S0217732320500182

발행일: 2020-02-28

유형: Article

저널명: Modern Physics Letters A

권: 35

호: 6