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Volumn 184, Issue 1, 2007, Pages 1-22

Solutions of the Dirac-Fock equations and the energy of the electron-positron field

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EID: 33847331309     PISSN: 00039527     EISSN: 14320673     Source Type: Journal    
DOI: 10.1007/s00205-006-0016-6     Document Type: Article
Times cited : (14)

References (12)
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    • On the stability of the relativistic electron-positron field
    • BACH, V., BARBAROUX, J-M., HELFFER, B., SIEDENTOP, H.: On the stability of the relativistic electron-positron field. Comm. Math. Phys. 201, 445-460 (1999)
    • (1999) Comm. Math. Phys , vol.201 , pp. 445-460
    • BACH, V.1    BARBAROUX, J.-M.2    HELFFER, B.3    SIEDENTOP, H.4
  • 2
    • 15244360825 scopus 로고    scopus 로고
    • BARBAROUX, J-M., ESTEBAN, M.J., SÉRÉ , E.: Some connections between Dirac-Fock and electron-positron Hartree-Fock. Ann. Henri Poincaré 6, 85-102 (2005)
    • BARBAROUX, J-M., ESTEBAN, M.J., SÉRÉ , E.: Some connections between Dirac-Fock and electron-positron Hartree-Fock. Ann. Henri Poincaré 6, 85-102 (2005)
  • 3
  • 4
    • 29144498971 scopus 로고    scopus 로고
    • Remarks on the Mittleman max-min variational method for the electron-positron field
    • BARBAROUX, J-M., HELFFER, B., SIEDENTOP, H.: Remarks on the Mittleman max-min variational method for the electron-positron field. J. Phys. A 39, 85-89 (2006)
    • (2006) J. Phys. A , vol.39 , pp. 85-89
    • BARBAROUX, J.-M.1    HELFFER, B.2    SIEDENTOP, H.3
  • 5
    • 0035540791 scopus 로고    scopus 로고
    • Nonrelativistic limit of the Dirac-Fock equations
    • ESTEBAN, M. J., SÉRÉ, E.: Nonrelativistic limit of the Dirac-Fock equations. Ann. Henri Poincaré 2, 941-961 (2001)
    • (2001) Ann. Henri Poincaré , vol.2 , pp. 941-961
    • ESTEBAN, M.J.1    SÉRÉ, E.2
  • 6
    • 0033242952 scopus 로고    scopus 로고
    • Solutions of the Dirac-Fock equations for atoms and molecules
    • ESTEBAN, M. J., SÉRÉ, E.: Solutions of the Dirac-Fock equations for atoms and molecules. Comm. Math. Phys. 203, 499-530 (1999)
    • (1999) Comm. Math. Phys , vol.203 , pp. 499-530
    • ESTEBAN, M.J.1    SÉRÉ, E.2
  • 7
    • 0000331931 scopus 로고    scopus 로고
    • A minimax principle for eigenvalues in spectral gaps: Dirac operators with Coulomb potential
    • GRIESEMER, M., LEWIS, R. T., SIEDENTOP, H.: A minimax principle for eigenvalues in spectral gaps: Dirac operators with Coulomb potential. Doc. Math. 4, 275-283 (1999)
    • (1999) Doc. Math , vol.4 , pp. 275-283
    • GRIESEMER, M.1    LEWIS, R.T.2    SIEDENTOP, H.3
  • 8
    • 0000060563 scopus 로고    scopus 로고
    • A minimax principle for the eigenvalues in spectral gaps
    • GRIESEMER, M., SIEDENTOP, H.: A minimax principle for the eigenvalues in spectral gaps. J. London Math. Soc. (2) 60, 490-500 (1999)
    • (1999) J. London Math. Soc. (2) , vol.60 , pp. 490-500
    • GRIESEMER, M.1    SIEDENTOP, H.2
  • 9
    • 26744434516 scopus 로고
    • Theory of relativistic effects on atoms: Configuration-space Hamiltonian
    • MITTLEMAN, M. H.: Theory of relativistic effects on atoms: Configuration-space Hamiltonian. Phys. Rev. A 24, 1167-1175 (1981)
    • (1981) Phys. Rev. A , vol.24 , pp. 1167-1175
    • MITTLEMAN, M.H.1
  • 11
    • 0034345506 scopus 로고    scopus 로고
    • Solutions of the Dirac-Fock equations without projector
    • PATUREL, E.: Solutions of the Dirac-Fock equations without projector. Ann. Henr Poincaré 1, 1123-1157 (2000)
    • (2000) Ann. Henr Poincaré , vol.1 , pp. 1123-1157
    • PATUREL, E.1
  • 12
    • 33847326452 scopus 로고    scopus 로고
    • REED, M., SIMON, B.: Methods of Modern Mathematical Physics, 4, Analysi; of Operators. Academic Press, New York, 1st Edition, 1978
    • REED, M., SIMON, B.: Methods of Modern Mathematical Physics, Volume 4, Analysi; of Operators. Academic Press, New York, 1st Edition, 1978


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.