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A new type of GUP with commuting coordinates
- Authors
- Shababi, Homa; Chung, Won Sang
- Issue Date
- 28-Feb-2020
- Publisher
- World Scientific Publishing Co
- Keywords
- Generalized uncertainty principle; minimal length; maximal momentum
- Citation
- Modern Physics Letters A, v.35, no.6
- Indexed
- SCIE
SCOPUS
- Journal Title
- Modern Physics Letters A
- Volume
- 35
- Number
- 6
- ISSN
- 0217-7323
1793-6632
- 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.
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