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在推广的不变量理论的基础上，运用与不变量有关的幺正变换方法研究了含时均匀电场下的量子Dirac场的演化，求解了Dirac场的泛函Schrdinger方程，得到了方程的精确解以及对应的总相位，总相位包括动力学相和几何相(Aharonov-Anandan phase).On the basis of the generalized invariant formulation, the invariant-related unitary transformation method is used to study the evolution of the quantum Dirac field in a time-dependent spatially homogeneous electric field. We solve the functional Schr?dinger equation for the Dirac field and obtain the exact solutions and corresponding total phase. The total phase includes both the dynamical phase and geometric phase (Aharonov-Anandan phase).
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