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A new type of GUP with commuting coordinates
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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.
Title: A new type of GUP with commuting coordinates
Description:
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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