均匀磁场中带电粒子几率密度的经典极限

CLASSICAL LIMITS OF PROBABILITY DENSITY FOR CHAGED PARTICLES IN UNIFORM MAGNETIC FIELDS.3

从均匀磁场中带电子粒子的经典轨道运动出发,分别在朗道规范和对称规范下对经典轨道的初始参数求平均,得到均匀系综的密度分布。这分布与经典极限下带电粒子的量子力学几率密度相同。由此得出均匀磁场中带电粒子波函数在经典极限下不是描述单个粒子而是描述一个系综的结论。

By means of average over the initial parameters of classical trajectories for a chargged particle in a uniform magnitic field the probability densities of homogeneous ensembles are given for Landau gauge and cylindrically symmetric gauge respectively. They agree with the probablity densities in quantum mechanics in the classical limit. It is shown that the quantum systems in the classical limit are equivalent to homogeneos ensembles.