메뉴 건너뛰기




Volumn 115, Issue 3-4, 2004, Pages 1037-1055

Accuracy of the time-dependent Hartree-Fock approximation for uncorrelated initial states

Author keywords

Mean field dynamics of fermions; Quantum N body problem; Quasi free states; Time dependent Hartree Fock equations

Indexed keywords


EID: 3543031680     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/b:joss.0000022381.86923.0a     Document Type: Article
Times cited : (29)

References (13)
  • 1
    • 0011045955 scopus 로고
    • Nonlinear quantum dynamical semigroups for many-body open systems
    • R. Alicki and J. Messer, Nonlinear quantum dynamical semigroups for many-body open systems, J. Stat. Phys. 32:299-312 (1983).
    • (1983) J. Stat. Phys. , vol.32 , pp. 299-312
    • Alicki, R.1    Messer, J.2
  • 2
    • 0013502647 scopus 로고    scopus 로고
    • Weak coupling limit of the N-particle Schrödinger equation
    • C. Bardos, F. Golse, and N. J. Mauser, Weak coupling limit of the N-particle Schrödinger equation, Math. Anal. Appl. 7:275-293 (2000).
    • (2000) Math. Anal. Appl. , vol.7 , pp. 275-293
    • Bardos, C.1    Golse, F.2    Mauser, N.J.3
  • 3
    • 0041841469 scopus 로고    scopus 로고
    • Mean field dynamics of fermions and the time-dependent Hartree-Fock equation
    • C. Bardos, F. Golse, A. D. Gottlieb, and N. J. Mauser, Mean field dynamics of fermions and the time-dependent Hartree-Fock equation, J. Math. Pure Appl. 82:665-683 (2003).
    • (2003) J. Math. Pure Appl. , vol.82 , pp. 665-683
    • Bardos, C.1    Golse, F.2    Gottlieb, A.D.3    Mauser, N.J.4
  • 5
    • 0013499711 scopus 로고    scopus 로고
    • Derivation of the Schrödinger-Poisson equation from the quantum N-particle Coulomb problem
    • C. Bardos, L. Erdös, F. Golse, N. J. Mauser, and H.-T. Yau, Derivation of the Schrödinger-Poisson equation from the quantum N-particle Coulomb problem, C. R. Acad. Sci. Série I Math. 334:515-520 (2002).
    • (2002) C. R. Acad. Sci. Série I Math. , vol.334 , pp. 515-520
    • Bardos, C.1    Erdös, L.2    Golse, F.3    Mauser, N.J.4    Yau, H.-T.5
  • 6
    • 0042906175 scopus 로고
    • An existence proof for the Hartree-Fock time-dependent problem with bounded two-body interaction
    • A. Bove, G. Da Prato, and G. Fano, An existence proof for the Hartree-Fock time-dependent problem with bounded two-body interaction, Comm. Math. Phys. 37:183-191 (1974).
    • (1974) Comm. Math. Phys. , vol.37 , pp. 183-191
    • Bove, A.1    Da Prato, G.2    Fano, G.3
  • 7
    • 3543001920 scopus 로고
    • On the Hartree-Fock time-dependent problem
    • A. Bove, G. Da Prato, and G. Fano, On the Hartree-Fock time-dependent problem, Comm. Math. Phys. 49:25-33 (1976).
    • (1976) Comm. Math. Phys. , vol.49 , pp. 25-33
    • Bove, A.1    Da Prato, G.2    Fano, G.3
  • 9
    • 36749120638 scopus 로고
    • Global existence of solutions to the Cauchy problem for time-dependent Hartree equations
    • J. M. Chadam and R. T. Glassey, Global existence of solutions to the Cauchy problem for time-dependent Hartree equations, J. Math. Phys. 16:1122-1130 (1976).
    • (1976) J. Math. Phys. , vol.16 , pp. 1122-1130
    • Chadam, J.M.1    Glassey, R.T.2
  • 10
    • 84959186380 scopus 로고
    • Note on exchange phenomena in the Thomas atom
    • P. Dirac, Note on exchange phenomena in the Thomas atom, Proc. Cambridge Philosophical Society 26:376-385 (1930).
    • (1930) Proc. Cambridge Philosophical Society , vol.26 , pp. 376-385
    • Dirac, P.1
  • 11
    • 84987072517 scopus 로고
    • Time-dependent Hartree-Fock theory for atoms
    • M. J. Jamieson, Time-dependent Hartree-Fock theory for atoms, Int. J. Quant. Chem. 4:103-115 (1971).
    • (1971) Int. J. Quant. Chem. , vol.4 , pp. 103-115
    • Jamieson, M.J.1
  • 12
    • 3542991741 scopus 로고
    • On the density matrices used in Hartree-Fock calculations
    • D. ter Haar, On the density matrices used in Hartree-Fock calculations, Physica 26:1041-1044 (1960).
    • (1960) Physica , vol.26 , pp. 1041-1044
    • Ter Haar, D.1
  • 13
    • 0041403101 scopus 로고
    • Kinetic equations from Hamiltonian dynamics
    • H. Spohn, Kinetic equations from Hamiltonian dynamics, Rev. Mod. Phys. 53:600-640 (1980).
    • (1980) Rev. Mod. Phys. , vol.53 , pp. 600-640
    • Spohn, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.