电磁场中的经典和量子布朗运动
Classical and quantum Brownian motion in an electromagnetic field
摘要：
在白噪声极限下，研究了布朗粒子在恒定磁场和含时电场中的动力学行为，经典问题采用Langevin方法，量子问题采用Feynman-Vernon和Caldeira-Leggett路径积分框架.研究了非对称高斯波函数表示的初始纯态概率分布在位形空间中的时间演化，表明它可以描述为（a）质心的经典运动，（b）绕平均位置的旋转，（c）沿主轴的扩展过程的叠加.
英文摘要：
The dynamics of a Brownian particle in a constant magnetic field and time-dependent electric field is studied in the limit of white noise, using a Langevin approach for the classical problem and the path-integral Feynman-Vernon and Caldeira-Leggett framework for the quantum problem. We study the time evolution in configuration space of the probability distribution of an initial pure state represented by an asymmetrical Gaussian wave function and show that it can be described as the superposition of (a) the classical motion of the center of mass, (b) a rotation around the mean position, and (c) a spreading processes along the principal axes.
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