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.
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页数:9
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