Quantum Trajectory in Multi-Dimensional Non-Linear System
量子物理
2007-05-23 v2 广义相对论与量子宇宙学
摘要
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.
引用
@article{arxiv.quant-ph/9911002,
title = {Quantum Trajectory in Multi-Dimensional Non-Linear System},
author = {Hiroto Kubotani},
journal= {arXiv preprint arXiv:quant-ph/9911002},
year = {2007}
}
备注
12 pages, Latex, 12 figure; Changed to REVTeX sytle, Refined numerical results