A new higher order GUP: one dimensional quantum system

被引：67
作者：
Chung, Won Sang [1 ,2 ]
Hassanabadi, Hassan [3 ]
机构：
[1] Gyeongsang Natl Univ, Dept Phys, Coll Nat Sci, Jinju 660701, South Korea
[2] Gyeongsang Natl Univ, Res Inst Nat Sci, Coll Nat Sci, Jinju 660701, South Korea
[3] Shahrood Univ Technol, Fac Phys, Shahrood, Iran
来源：
EUROPEAN PHYSICAL JOURNAL C | 2019年 / 79卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
GENERALIZED UNCERTAINTY PRINCIPLE; MINIMAL LENGTH UNCERTAINTY; MAXIMAL MOMENTUM; SPACE; GRAVITY;
D O I：
10.1140/epjc/s10052-019-6718-3
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
In this paper we present a new higher order generalized (gravitational) uncertainty principle (GUP*) which has the maximal momentum as well as the minimal length. We discuss the position representation and momentum representation. We also discuss the position eigenfunction and maximal localization states. As examples we discuss one dimensional box problem and harmonic oscillator problem.
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页数：7
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共 39 条
[1]   On gravity and the uncertainty principle [J].
Adler, RJ ;
Santiago, DI .
MODERN PHYSICS LETTERS A, 1999, 14 (20) :1371-1381
[2]   Proposal for testing quantum gravity in the lab [J].
Ali, Ahmed Farag ;
Das, Saurya ;
Vagenas, Elias C. .
PHYSICAL REVIEW D, 2011, 84 (04)
[3]   Discreteness of space from the generalized uncertainty principle [J].
Ali, Ahmed Farag ;
Das, Saurya ;
Vagenas, Elias C. .
PHYSICS LETTERS B, 2009, 678 (05) :497-499
[4]   CAN SPACETIME BE PROBED BELOW THE STRING SIZE [J].
AMATI, D ;
CIAFALONI, M ;
VENEZIANO, G .
PHYSICS LETTERS B, 1989, 216 (1-2) :41-47
[5]   SUPERSTRING COLLISIONS AT PLANCKIAN ENERGIES [J].
AMATI, D ;
CIAFALONI, M ;
VENEZIANO, G .
PHYSICS LETTERS B, 1987, 197 (1-2) :81-88
[6]   Generalized uncertainty principles and localization of a particle in discrete space [J].
Bojowald, Martin ;
Kempf, Achim .
PHYSICAL REVIEW D, 2012, 86 (08)
[7]   Generalized uncertainty principle from quantum geometry [J].
Capozziello, S ;
Lambiase, G ;
Scarpetta, G .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2000, 39 (01) :15-22
[8]   New generalized uncertainty principle from the doubly special relativity [J].
Chung, Won Sang ;
Hassanabadi, Hassan .
PHYSICS LETTERS B, 2018, 785 :127-131
[9]   Quantum uncertainty in doubly special relativity -: art. no. 065015 [J].
Cortés, JL ;
Gamboa, J .
PHYSICAL REVIEW D, 2005, 71 (06) :1-4
[10]   Discreteness of space from GUP II: Relativistic wave equations (vol 690, pg 407, 2010) [J].
Das, Saurya ;
Vagenas, Elias C. ;
Ali, Ahmed Farag .
PHYSICS LETTERS B, 2010, 692 (05) :342-342
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