New generalized uncertainty principle from the doubly special relativity

Based on the doubly special relativity we find a new type of generalized uncertainty principle (GUP) where the coordinate remains unaltered at the high energy while the momentum is deformed at the high energy so that it may be bounded from the above. For this GUP, we discuss some quantum mechanical...

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Bibliographic Details
Main Authors: Won Sang Chung, Hassan Hassanabadi
Format: Article
Language:English
Published: Elsevier 2018-10-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318306373
Description
Summary:Based on the doubly special relativity we find a new type of generalized uncertainty principle (GUP) where the coordinate remains unaltered at the high energy while the momentum is deformed at the high energy so that it may be bounded from the above. For this GUP, we discuss some quantum mechanical problems in one dimension such as box problem, momentum wave function, and harmonic oscillator problem.
ISSN:0370-2693