dorsal/arxiv
View SchemaCorrelation Dynamics of Green's Functions
| Authors | Shun-Jin Wang, Wei Zuo, Wolfgang Cassing |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9401012 |
| URL | https://arxiv.org/abs/nucl-th/9401012 |
| DOI | 10.1016/0375-9474(94)90170-8 |
| Journal | Nucl.Phys. A573 (1994) 245-275 |
Abstract
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.
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"abstract": "We generalize the methods used in the theory of correlation dynamics and\nestablish a set of equations of motion for many-body correlation green\u0027s\nfunctions in the non-relativistic case. These non-linear and coupled equations\nof motion describe the dynamical evolution of correlation green\u0027s functions of\ndifferent order and transparently show how many-body correlations are generated\nby the different interaction terms in a genuine nonperturbative framework. The\nnonperturbative results of the conventional green\u0027s function theory are\nincluded in the present formalism as two limiting cases (the so-called ladder\ndiagram summation and ring diagram summation) as well as the familiar\ncorrelation dynamics of density-matrices in the equal time limit. We present\nexplicit expressions for three- and four-body correlation functions that can be\nused to dynamically restore the trace relations for spin-symmetric fermi\nsystems and study numerically the relative importance of two-, three- and\nfour-body correlations for nuclear configurations close to the groundstate.",
"arxiv_id": "nucl-th/9401012",
"authors": [
"Shun-Jin Wang",
"Wei Zuo",
"Wolfgang Cassing"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0375-9474(94)90170-8",
"journal_ref": "Nucl.Phys. A573 (1994) 245-275",
"title": "Correlation Dynamics of Green\u0027s Functions",
"url": "https://arxiv.org/abs/nucl-th/9401012"
},
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