对一类含时哈密顿量在渐近情况下存在一种特殊形式的不变量,与这种不变量相关联的Lewis相因子在渐近极限下便成为Berry相因子,从而揭示了Lewis相因子与Berry相因子的联系。%The existence of a special invariant for some time-dependentHamiltonians is displayed and the Lewis's phase related to such an invariant becoming Berry's phase in the adiabatic limit is observed and the correspondence between Berry's phase and Lewis's phase is revealed in this paper.
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