We investigate the dynamics of a system coupled to an environment by averaged semiquantum method.The theory origins from the time-dependent variational principle(TDVP)formulation and contains nondiagonal matrixelements.So it can be applied to study dissipation,measurement,and decoherence problems in the model(H=h_S+h_E+h_I).In the calculation,the influence of the environment govern by differential dynamical equation is incorporatedthrough a mean Geld.We have performed averaged semiquantum method for a spin-boson model,which reproduce theresults from stochastic Schrodinger equation method and Hierarchical approach quite accurately.The problems,dynamicsin nonequilibrium environments,have also been studied by our method.
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