Quantum mechanics and the generalized uncertainty principle

被引:81
作者
Bang, Jang Young [1 ]
Berger, Micheal S. [1 ]
机构
[1] Indiana Univ, Dept Phys, Bloomington, IN 47405 USA
来源
PHYSICAL REVIEW D | 2006年 / 74卷 / 12期
关键词
D O I
10.1103/PhysRevD.74.125012
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The generalized uncertainty principle has been described as a general consequence of incorporating a minimal length from a theory of quantum gravity. We consider a simple quantum mechanical model where the operator corresponding to position has discrete eigenvalues and show how the generalized uncertainty principle results for minimum uncertainty wave packets.
引用
收藏
页数:8
相关论文
共 85 条
[1]   The generalized uncertainty principle and black hole remnants [J].
Adler, RJ ;
Chen, PS ;
Santiago, DI .
GENERAL RELATIVITY AND GRAVITATION, 2001, 33 (12) :2101-2108
[2]   Minimal length uncertainty relation and the hydrogen spectrum [J].
Akhoury, R ;
Yao, YP .
PHYSICS LETTERS B, 2003, 572 (1-2) :37-42
[3]   CAN SPACETIME BE PROBED BELOW THE STRING SIZE [J].
AMATI, D ;
CIAFALONI, M ;
VENEZIANO, G .
PHYSICS LETTERS B, 1989, 216 (1-2) :41-47
[4]  
[Anonymous], 1984, RELATIVITY GROUPS TO
[5]   Minimum length cutoff in inflation and uniqueness of the action [J].
Ashoorioon, A ;
Kempf, A ;
Mann, RB .
PHYSICAL REVIEW D, 2005, 71 (02) :023503-1
[6]   NEW COHERENT STATES ASSOCIATED WITH NON-COMPACT GROUPS [J].
BARUT, AO ;
GIRARDELLO, L .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1971, 21 (01) :41-+
[7]   Short distance versus long distance physics: The classical limit of the minimal length uncertainty relation [J].
Benczik, S ;
Chang, LN ;
Minic, D ;
Okamura, N ;
Rayyan, S ;
Takeuchi, T .
PHYSICAL REVIEW D, 2002, 66 (02) :1
[8]  
BENCZIK S, HEPTH0209119
[9]   Keplerian squeezed states and Rydberg wave packets [J].
Bluhm, R ;
Kostelecky, VA ;
Tudose, B .
PHYSICAL REVIEW A, 1996, 53 (02) :937-945
[10]   ELLIPTIC SQUEEZED STATES AND RYDBERG WAVE-PACKETS [J].
BLUHM, R ;
KOSTELECKY, VA ;
TUDOSE, B .
PHYSICAL REVIEW A, 1995, 52 (03) :2234-2244