Noncommutative quantum mechanics and Bohm's ontological interpretation

被引:21
作者
Barbosa, GD [1 ]
Pinto-Neto, N [1 ]
机构
[1] Ctr Brasileiro Pesquisas Fis, BR-22290180 Rio De Janeiro, Brazil
来源
PHYSICAL REVIEW D | 2004年 / 69卷 / 06期
关键词
D O I
10.1103/PhysRevD.69.065014
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We carry out an investigation into the possibility of developing a Bohmian interpretation based on the continuous motion of point particles for noncommutative quantum mechanics. The conditions for such an interpretation to be consistent are determined, and the implications of its adoption for noncommutativity are discussed. A Bohmian analysis of the noncommutative harmonic oscillator is carried out in detail. By studying the particle motion in the oscillator orbits, we show that small-scale physics can have influence at large scales, something similar to the IR-UV mixing.
引用
收藏
页数:9
相关论文
共 71 条
[31]   THE QUANTUM STRUCTURE OF SPACETIME AT THE PLANCK-SCALE AND QUANTUM-FIELDS [J].
DOPLICHER, S ;
FREDENHAGEN, K ;
ROBERTS, JE .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 172 (01) :187-220
[32]   Noncommutative field theory [J].
Douglas, MR ;
Nekrasov, NA .
REVIEWS OF MODERN PHYSICS, 2001, 73 (04) :977-1029
[33]   QUANTUM EQUILIBRIUM AND THE ORIGIN OF ABSOLUTE UNCERTAINTY [J].
DURR, D ;
GOLDSTEIN, S ;
ZANGHI, N .
JOURNAL OF STATISTICAL PHYSICS, 1992, 67 (5-6) :843-907
[34]   Scattering theory from microscopic first principles [J].
Dürr, D ;
Goldstein, S ;
Teufel, S ;
Zanghì, N .
PHYSICA A, 2000, 279 (1-4) :416-431
[35]  
Dürr D, 2003, J PHYS A-MATH GEN, V36, P4143, DOI 10.1088/0305-4470/36/14/315
[36]  
DURR D, QUANTPH0303056
[37]   THE PROBLEM OF NONLOCALITY IN STRING THEORY [J].
ELIEZER, DA ;
WOODARD, RP .
NUCLEAR PHYSICS B, 1989, 325 (02) :389-469
[38]   Testing spatial noncommutativity via the Aharonov-Bohm effect -: art. no. 045018 [J].
Falomir, H ;
Gamboa, J ;
Loewe, M ;
Méndez, F ;
Rojas, JC .
PHYSICAL REVIEW D, 2002, 66 (04)
[39]  
FEYNMAN R, 1995, FEYNMAN LECT GRAVITA
[40]   Noncommutative quantum mechanics [J].
Gamboa, J ;
Loewe, M ;
Rojas, JC .
PHYSICAL REVIEW D, 2001, 64 (06)