Explicit treatment of N-body correlations within a density-matrix formalism

The nuclear many-body problem is reformulated in the density-matrix approach such that n-body correlations are separated out from the reduced density matrix ϱ n . A set of equations for the time evolution of the n-body correlations c n is derived which allows for physically transparent truncations w...

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Bibliographic Details
Published in:Annals of physics 1985-02, Vol.159 (2), p.328-350
Main Authors: Shun-jin, Wang, Cassing, W
Format: Article
Language:English
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Summary:The nuclear many-body problem is reformulated in the density-matrix approach such that n-body correlations are separated out from the reduced density matrix ϱ n . A set of equations for the time evolution of the n-body correlations c n is derived which allows for physically transparent truncations with respect to the order of correlations. In the stationary limit ( c ̇ n = 0 ) a restriction to two-body correlations yields a generalized Bethe-Goldstone equation while a restriction to three-body correlations yields generalized Faddeev equations in the density-matrix formulation. Furthermore it can be shown that any truncation of the set of equations ( c n = 0, n > m) is compatible with conservation laws, a quality which in general is not fulfilled if higher order correlations are treated perturbatively.
ISSN:0003-4916
1096-035X
DOI:10.1016/0003-4916(85)90116-2