Noncommutative quantum mechanics and Bohm's ontological interpretation

Details Noncommutative quantum mechanics and Bohm's ontological interpretation Noncommutative quantum mechanics and Bohm's ontological interpretation

2003-04-10

arxiv.org/abs/hep-th/0304105v5

Phys. Rev. D69 (2004) 065014

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1103/PhysRevD.69.065014

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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