强磁场中碱金属原子的演化和Aharonov－Anandan相因子

TIME EVOLUTION OF THE ALKALI ATOM IN A STRONG MAGNETIC FIELD AND AHARONOV-ANANDAN PHASE

利用量子不变量理论研究了任意随时间变化的强磁场中碱金属原子系统的演化问题，得到了此系统精确的演化态，并利用此精确的演化态求出了相应的Ａｎａｒｏｎｏｖ－Ａｎａｎｄａｎ相因子和绝热极限下的Ｂｅｒｒｙ相因子。将此系统精确的演化态按哈密顿量的瞬时本征态展开，可以得到绝热近似的任意阶修正。

In the paper, the time evolution problem of the Alkali atom in a strong time-dependent magnetic field is studied and the exact evolving state of the system obiained by making use of the quantum invariant theory. Then, the Anharonov - Anandan phase and Berry phase for the system are derived by measns of the exact evolving state. We proceed to expanding the exact evolving state for the system in terms of the eigenstates of the instantaneous Hamiltonian obtaining the corrections tO an arbitrary order in the adiabatic approximation.