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提出一般和有效的算符方法来处理原子与腔场、腔场与腔场等相互作用系统.基于该方法,通过构造三对时间依赖的准光子产生和湮灭算符,简捷地求解二能级单原子与三腔场非共振相互作用系统,得到系统的本征态和本征值、一般态矢、演化算符及三腔场的光子数和原子布居反转的时间演化.我们的新方法可直接应用于其它一些量子系统.“,”A general and effective operator method is initiated for approaching the quantum sys-tems of atom-cavity or cavity-cavity field interactions,etc.According to the approach by const-ructing three pairs of the time-dependent creation and annihilation operators,we can directly and readily solve the system with the nonresonant interaction between a two level atom and three cavity modes.The eigenstates and eigenenergies,general statevector and evolution operator as well as the evolution expressions for both the atomic inversion and photon numbers of the cavity modes are obtained firstly.The new approach may be directly applied to some other quantum systems.