1999/11/02 by Hiroto Kubotani, Kubotani, Hiroto · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #gr-qc #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/9911002
12 pages, Latex, 12 figure; Changed to REVTeX sytle, Refined numerical results
openalex publication_date 1999/11/02 · arxiv created 2001/01/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss quantum dynamics in multi-dimensional non-linear systems. It is well-known that wave functions are localized in a kicked rotor model. However, coupling with other degrees of freedom breaks the localization. In order to clarify the difference, we describe the quantum dynamics by deterministic rigid trajectories, which are accompanied with the de Broglie-Bohm interpretation of quantum mechanics, instead of wave functions. A bundle of quantum trajectories are repulsive through quantum potential and flow never to go across each other. We show that, according to the degrees of freedom, this same property appears differently.