{
  "id": "nucl-th/0305088",
  "version": "v1",
  "published": "2003-05-29T03:47:22.000Z",
  "updated": "2003-05-29T03:47:22.000Z",
  "title": "Eigenstates of the time-dependent density-matrix theory",
  "authors": [
    "M. Tohyama",
    "P. Schuck"
  ],
  "comment": "8 pages, 1 figure",
  "doi": "10.1140/epja/i2003-10145-8",
  "categories": [
    "nucl-th"
  ],
  "abstract": "An extended time-dependent Hartree-Fock theory, known as the time-dependent density-matrix theory (TDDM), is solved as a time-independent eigenvalue problem for low-lying $2^+$ states in $^{24}$O to understand the foundation of the rather successful time-dependent approach. It is found that the calculated strength distribution of the $2^+$ states has physically reasonable behavior and that the strength function is practically positive definite though the non-hermitian hamiltonian matrix obtained from TDDM does not guarantee it. A relation to an extended RPA theory with hermiticity is also investigated. It is found that the density-matrix formalism is a good approximation to the hermitian extended RPA theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-05-29T03:47:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "time-dependent density-matrix theory",
      "eigenstates",
      "extended time-dependent hartree-fock theory",
      "non-hermitian hamiltonian matrix",
      "hermitian extended rpa theory"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 619873
    }
  }
}