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Truncation scheme of time-dependent density-matrix approach III

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arxiv 1904.06780 v1 pith:FNGQUWTR submitted 2019-04-14 nucl-th

Mitsuru Tohyama , Peter Schuck This is my paper · ORCID
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keywords densitydensity-matrixlipkinmatricesmatrixmodeltddmthree-body
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abstract

The time-dependent density-matrix theory (TDDM) where the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy for reduced density matrices is truncated by approximating a three-body density matrix with one-body and two-body density matrices is applied to the Lipkin model. It is shown that in the large $N$ limit the ground state in TDDM approaches the exact solution. Various truncation schemes for the three-body density matrix are also tested for an extended three-level Lipkin model.

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