摘要
本文考虑了经典演化方程和Schrodinger方程的类似性,指出具有缓变参数的经典演化方程的解会自然给出具有拓扑性质的几何相因子—我们称之为经典Berry相因子.我们给出了绝热条件破坏时非简并情况各级近似方程的通解.作为例子,详尽研究了带电粒子在绝热变化磁场中的运动,明显地得到了一个量子Berry相因子的经典模型.这个相因子在几何上可解释为参数空间中单位球面S^2上厄米线丛的和乐.
Considering that the classical evolution equations are similar to the Schrodinger eqaution, we point out that there is the structure of the Berry's Phase in the solution of a classical evolution eqaution with adiabatic changing parameters. Thus, we can use a classical evolution process to imitate the quantum adiabatic process. As an example, the motion of a charged particle in slowly-changing magnetic field is studied and the corresponding phase factor can be interpreted as a holomony of the fiber bundle on the sphare s^2 in the parameter space.
出处
《高能物理与核物理》
CSCD
北大核心
1989年第2期109-115,共7页
High Energy Physics and Nuclear Physics
