Noncommutative quantum mechanics and Bohm's ontological interpretation

  title={Noncommutative quantum mechanics and Bohm's ontological interpretation},
  author={G. D. Barbosa and N. Pinto-Neto},
  journal={Physical Review D},
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… 
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    Physical review letters
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