Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1994-01-17
Nucl.Phys. A573 (1994) 245-275
Physics
Nuclear Physics
Nuclear Theory
29 LATEX pages, 2 figures available upon request, UGI-94-02
Scientific paper
We generalize the methods used in the theory of correlation dynamics and establish a set of equations of motion for many-body correlation green's functions in the non-relativistic case. These non-linear and coupled equations of motion describe the dynamical evolution of correlation green's functions of different order and transparently show how many-body correlations are generated by the different interaction terms in a genuine nonperturbative framework. The nonperturbative results of the conventional green's function theory are included in the present formalism as two limiting cases (the so-called ladder diagram summation and ring diagram summation) as well as the familiar correlation dynamics of density-matrices in the equal time limit. We present explicit expressions for three- and four-body correlation functions that can be used to dynamically restore the trace relations for spin-symmetric fermi systems and study numerically the relative importance of two-, three- and four-body correlations for nuclear configurations close to the groundstate.
Cassing Wolfgang
Wang Shun-Jin
Zuo Wei
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