QUANTUM MECHANICS OF MANY PARTICLES DEFINED ON TWISTED N-ENLARGED NEWTON-HOOKE SPACE-TIMES

被引:16
作者
Daszkiewicz, Marcin [1 ]
机构
[1] Univ Wroclaw, Inst Theoret Phys, PL-50206 Wroclaw, Poland
来源
ACTA PHYSICA POLONICA B | 2013年 / 44卷 / 04期
关键词
NONCOMMUTATIVE SPACE; FIELD THEORY; CLASSICAL MECHANICS; DEFORMATIONS; GRAVITY; CALCULI;
D O I
10.5506/APhysPolB.44.699
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We provide the quantum mechanics of many particles moving in twisted N-enlarged Newton-Hooke space-time. In particular, we consider the example of such noncommutative system - the set of M particles moving in Coulomb field of external point-like source and interacting each other also by Coulomb potential.
引用
收藏
页码:699 / 711
页数:13
相关论文
共 48 条
[1]   Quantum-gravity phenomenology: Status and prospects [J].
Amelino-Camelia, G .
MODERN PHYSICS LETTERS A, 2002, 17 (15-17) :899-922
[2]   Testable scenario for relativity with minimum length [J].
Amelino-Camelia, G .
PHYSICS LETTERS B, 2001, 510 (1-4) :255-263
[3]   Indication, from Pioneer 10/11, Galileo, and Ulysses data, of an apparent anomalous, weak, long-range acceleration [J].
Anderson, JD ;
Laing, PA ;
Lau, EL ;
Liu, AS ;
Nieto, MM ;
Turyshev, SG .
PHYSICAL REVIEW LETTERS, 1998, 81 (14) :2858-2861
[4]  
[Anonymous], 1968, QUANTUM MECH
[5]  
Aschieri P, 1999, EUR PHYS J C, V7, P159
[6]  
Brihaye Y., ARXIVMATH0006167MATH
[7]   Noncommutative fields and actions of twisted Poincare algebra [J].
Chaichian, M. ;
Kulish, P. P. ;
Tureanu, A. ;
Zhang, R. B. ;
Zhang, Xiao .
JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (04)
[8]   Hydrogen atom spectrum and the Lamb shift in noncommutative QED [J].
Chaichian, M ;
Sheikh-Jabbari, MM ;
Tureanu, A .
PHYSICAL REVIEW LETTERS, 2001, 86 (13) :2716-2719
[9]   Non-commutativity of space-time and the hydrogen atom spectrum [J].
Chaichian, M ;
Sheikh-Jabbari, MM ;
Tureanu, A .
EUROPEAN PHYSICAL JOURNAL C, 2004, 36 (02) :251-252
[10]   Quantum field theory on the noncommutative plane with Eq(2) symmetry [J].
Chaichian, M ;
Demichev, A ;
Presnajder, P .
JOURNAL OF MATHEMATICAL PHYSICS, 2000, 41 (04) :1647-1671