arXiv:nucl-th/0405070·v1·Nuclear Theory
Relation between the density-matrix theory and the pairing theory
Mitsuru Tohyama🇯🇵 · Satoshi Takahara🇯🇵
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.
Comments: 11 pages