Phys. Rev. D 69, 065014 (2004) [9 pages]Noncommutative quantum mechanics and Bohm’s ontological interpretationReceived 9 October 2003; revised 5 December 2003; published 25 March 2004 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. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.69.065014
DOI:
10.1103/PhysRevD.69.065014
PACS:
11.10.Lm, 03.65.Ge, 03.65.Ta, 11.25.Sq
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