dorsal/arxiv
View SchemaRelation between the density-matrix theory and the pairing theory
| Authors | Mitsuru Tohyama, Satoshi Takahara |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0405070 |
| URL | https://arxiv.org/abs/nucl-th/0405070 |
| DOI | 10.1143/PTP.112.499 |
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.
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"abstract": "The time-dependent density-matrix theory (TDDM) gives a correlated ground\nstate as a stationary solution of the time-dependent equations for one-body and\ntwo-body density matrices. The small amplitude limit of TDDM (STDDM) is a\nversion of extended RPA theories which include the effects of ground state\ncorrelations. It is shown that the solutions of the Hartree-Fock Bogoliubov\ntheory and the quasi-particle RPA satisfy the TDDM and STDDM equations,\nrespectively, when only pairing-type correlations are taken into account in\nTDDM and STDDM.",
"arxiv_id": "nucl-th/0405070",
"authors": [
"Mitsuru Tohyama",
"Satoshi Takahara"
],
"categories": [
"nucl-th"
],
"doi": "10.1143/PTP.112.499",
"title": "Relation between the density-matrix theory and the pairing theory",
"url": "https://arxiv.org/abs/nucl-th/0405070"
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