随时间演化的磁场中电子性质的研究

Study of electron feature in the time-evolution magnetic field

电子在随时间演化的磁场中的运动,其相位的变化是众所周知的.在此运用二能级系统幺正演化算符的方法,求解几种较为典型特例的严格解,分析其相位的变化.通过含时Schrodinger方程解得动力学相位,就可以得到A-A相,再与Berry相位进行比较.

As is well known, the phase changes with electron transport in the time-evolution magnetic field. In this paper, with evolution operator in tow-level systems, we obtain several exact solutions. Then we analyze their phase. By the time-dependent Schrdinger equation, we obtain dynamical phase, and then we have Aharonov-Anandan phase. At last, we compare them with Berry phase.