Relation between the density-matrix theory and the pairing theory

Details Relation between the density-matrix theory and the pairing theory Relation between the density-matrix theory and the pairing theory

2004-05-26

arxiv.org/abs/nucl-th/0405070v1

Physics

Nuclear Physics

Nuclear Theory

11 pages

Scientific paper

10.1143/PTP.112.499

The time-dependent density-matrix theory (TDDM) gives a correlated ground state as a stationary solution of the time-dependent equations for one-body and two-body density matrices. The small amplitude limit of TDDM (STDDM) is a version of extended RPA theories which include the effects of ground state correlations. It is shown that the solutions of the Hartree-Fock Bogoliubov theory and the quasi-particle RPA satisfy the TDDM and STDDM equations, respectively, when only pairing-type correlations are taken into account in TDDM and STDDM.

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