多维非线性系统的量子轨道
Quantum Trajectory in Multi-Dimensional Non-Linear System
摘要：
我们讨论多维非线性系统中的量子动力学。众所周知，波函数在反冲转子模型中是局部化的。然而，与其他自由度的耦合破坏了本地化。为了澄清这一差异，我们用确定性刚性轨线代替波函数来描述量子动力学，并伴随着量子力学的de Broglie-Bohm解释.一束量子轨道通过量子势是排斥的，并且流动永远不会相互交叉。我们表明，根据自由度，这个相同的属性出现不同。
英文摘要：
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.
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