Abstract
A new approach to the two-time Green function method is proposed. In order to give a systematic way of decoupling the two-time Gr~en functions and to overcome the difficulties often encountered in terminating the hierarchy of Green functions, a generating function is introduced and its properties are examined in detail for a simple model. It is shown that the generating function provides powerful tool even in the case where conventional approximation for Green functions does not work. An example of the generating function is constructed for Fermion system with two-body interaction.
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