Noncommutative quantum mechanics and Bohm's ontological interpretation
arXiv:hep-th/0304105 · doi:10.1103/PhysRevD.69.065014
Abstract
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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- Localization at threshold in noncommutative space
- Entangled-state cryptographic protocol that remains secure even if nonlocal hidden variables exist and can be measured with arbitrary precision
- Laser agitates probability flow in atoms to form alternating current and its peak-dip phenomenon
- Inverse square problem and so(2,1) symmetry in noncommutative space