2003/04/30 by G. D. Barbosa, Nelson Pinto-Neto, N. Pinto-Neto
Computer Science · Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Information and Cryptography #Quantum Mechanics and Applications #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevd.69.065014
published as Phys. Rev. D69 (2004) 065014
openalex publication_date 2004/03/25 · arxiv created 2004/07/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.