量子系统绝热演化的非动力学相位

A Non-dynamic Phase of the Quantum System in the Adiabatic Evolution

讨论了量子系统Ｈ（ｔ）初始处于非能量本征态｜（０）＞的演化问题，得到相应的方程组；在推广的绝热假设下求解了两个能级的情况，得到了相应的非动力学相位βｎ（ｔ）．βｎ（ｔ）中除了有Ｂｅｒｒｙ已指明的项外，还有非对角元＜ｋ｜ｎ＞的项，并且与初始条件有关，从而将Ｂｅｒｒｙ相位概念推广到处于非能量本征态｜（ｔ）＞的情况．

The evolution of a quantum system H (t) is discussed in original condition |(0) >under the generalized adiabatic postulate. The 2-energy system is solved and the non-dynamic phase βn (t) obtained. The phase βn (t) relates not only to the diagonal element <n|n>, which was pointed by Berry, but also the off-diagonal element <k|n> and the non-dynamic phase is related to the original condition. So, the Berry phase is extended to the case of the state |(t)>.