English

Relation between the density-matrix theory and the pairing theory

Nuclear Theory 2009-11-10 v1

Abstract

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.

Keywords

Cite

@article{arxiv.nucl-th/0405070,
  title  = {Relation between the density-matrix theory and the pairing theory},
  author = {Mitsuru Tohyama and Satoshi Takahara},
  journal= {arXiv preprint arXiv:nucl-th/0405070},
  year   = {2009}
}

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11 pages