Application Of The Correlation Dynamics To The Single Impurity Anderson Model

In this thesis we present the application of correlation dynamics in the study of Anderson model.The single impurity Anderson model(SIAM) is one of the most fundamental and probably best understood models in strongly correlated electronic systems. It was proposed to describe the properties of magnetic impurity in non-magnetic metallic hosts.Yet the SIAM has been widely used to imitate mixed valence and heavy fermion systems. Since the SIAM was proposed by Anderson in 1961 ,a variety of standard techniques have been developed to study its static and dynamical properties basically in the whole parameter space.(for a recent review one may refer to Ref.[1]).Although a very clear physical picture of the SIAM has emerged from these investigations, a reliable method for calculating dynamical properties at the whole parameter space has been lacking for a long time.The quantum many-body correlation dynamics proposed by Wang et al[2]provide a good treatment, we shall apply it to SIAM, and compare the result to history solutions.