메뉴 건너뛰기




Volumn 9, Issue 6, 1999, Pages 941-961

Local approximation for the hartree-fock exchange potential: A deformation approach

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033409439     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202599000439     Document Type: Article
Times cited : (38)

References (29)
  • 1
    • 0041723821 scopus 로고
    • Error bounds for the Hartree-Fock energy of atoms and molecules
    • V. Bach, Error bounds for the Hartree-Fock energy of atoms and molecules, Comm. Math. Phys. 147 (1992) 527-549.
    • (1992) Comm. Math. Phys. , vol.147 , pp. 527-549
    • Bach, V.1
  • 2
    • 34249830409 scopus 로고
    • Accuracy of mean field approximations for atoms and molecules
    • V. Bach, Accuracy of mean field approximations for atoms and molecules, Comm. Math. Phys. 155 (1993) 295-310.
    • (1993) Comm. Math. Phys. , vol.155 , pp. 295-310
    • Bach, V.1
  • 4
    • 0030487547 scopus 로고    scopus 로고
    • A decomposition theorem for wave functions in molecular quantum chemistry
    • O. Bokanowski and B. Grébert, A decomposition theorem for wave functions in molecular quantum chemistry, Math. Models Methods Appl. Sci. 6 (1996) 437-466.
    • (1996) Math. Models Methods Appl. Sci. , vol.6 , pp. 437-466
    • Bokanowski, O.1    Grébert, B.2
  • 5
    • 0030544530 scopus 로고    scopus 로고
    • Deformations of density functions in molecular quantum chemistry
    • O. Bokanowski and B. Grébert, Deformations of density functions in molecular quantum chemistry, J. Math. Phys. 37 (1996) 1553-1573.
    • (1996) J. Math. Phys. , vol.37 , pp. 1553-1573
    • Bokanowski, O.1    Grébert, B.2
  • 6
    • 0000931091 scopus 로고    scopus 로고
    • Utilization of deformations in molecular quantum chemistry and application to density-functional theory
    • O. Bokanowski and B. Grébert, Utilization of deformations in molecular quantum chemistry and application to density-functional theory, Internat. J. Quantum Chem. 68 (1998) 221-231.
    • (1998) Internat. J. Quantum Chem. , vol.68 , pp. 221-231
    • Bokanowski, O.1    Grébert, B.2
  • 9
    • 0347455509 scopus 로고
    • Semiclassical limit theorems for Hartree-Fock theory
    • J. G. Conlon, Semiclassical limit theorems for Hartree-Fock theory, Comm. Math. Phys. 88 (1983) 133-150.
    • (1983) Comm. Math. Phys. , vol.88 , pp. 133-150
    • Conlon, J.G.1
  • 10
    • 0000935614 scopus 로고    scopus 로고
    • Limite thermodynamique pour les modèles de type Thomas-Fermi
    • I. Catto, C. Le Bris and P. L. Lions, Limite thermodynamique pour les modèles de type Thomas-Fermi, C. R. Acad. Sci. 322 (1996) 357-364.
    • (1996) C. R. Acad. Sci. , vol.322 , pp. 357-364
    • Catto, I.1    Le Bris, C.2    Lions, P.L.3
  • 12
    • 84959186380 scopus 로고
    • Note on exchange phenomena in the Thomas-Fermi atom
    • P. A. M. Dirac, Note on exchange phenomena in the Thomas-Fermi atom, Proc. Cambridge Philos. Soc. 26 (1931) 376-385.
    • (1931) Proc. Cambridge Philos. Soc. , vol.26 , pp. 376-385
    • Dirac, P.A.M.1
  • 13
    • 0000236776 scopus 로고
    • Ueber eine approximation des Hartree-Fockschen potentials durch eine universelle Potentialfunktion
    • R. Gaspar, Ueber eine approximation des Hartree-Fockschen potentials durch eine universelle Potentialfunktion, Acta. Phys. Hungar. 3 (1954) 263-285.
    • (1954) Acta. Phys. Hungar. , vol.3 , pp. 263-285
    • Gaspar, R.1
  • 14
    • 85034536303 scopus 로고    scopus 로고
    • Semiclassical, t → ∞ asymptotics and dispersive effects for Hartree-Fock systems
    • to appear
    • I. Gasser, R. Illner, P. A. Markowich and C. Schmeiser, Semiclassical, t → ∞ asymptotics and dispersive effects for Hartree-Fock systems, to appear in Math. Methods Appl. Sci.
    • Math. Methods Appl. Sci.
    • Gasser, I.1    Illner, R.2    Markowich, P.A.3    Schmeiser, C.4
  • 15
    • 36149015627 scopus 로고
    • Correlation energy of an electron gas at high density
    • M. Gell-Mann and K. A. Brueckner, Correlation energy of an electron gas at high density, Phys. Rev. 100 (1957) 364-368.
    • (1957) Phys. Rev. , vol.100 , pp. 364-368
    • Gell-Mann, M.1    Brueckner, K.A.2
  • 16
    • 0000596347 scopus 로고
    • Formulation of N- and v- representable density-functional theory. I. Ground states
    • E. S. Kryachko and E. V. Ludeña, Formulation of N-and v-representable density-functional theory. I. Ground states, Phys. Rev. A43 (1991) 2179-2193.
    • (1991) Phys. Rev. , vol.A43 , pp. 2179-2193
    • Kryachko, E.S.1    Ludeña, E.V.2
  • 17
    • 0042113153 scopus 로고
    • Self-consistent equations including exchange and correlation effects
    • W. Kohn and L. J. Sham, Self-consistent equations including exchange and correlation effects, Phys. Rev. A140 (1965) 1133.
    • (1965) Phys. Rev. , vol.A140 , pp. 1133
    • Kohn, W.1    Sham, L.J.2
  • 18
    • 0342745528 scopus 로고    scopus 로고
    • Université Paris IX Dauphine - UFR Mathématiques de la décision
    • C. Le Bris, Habilitation à diriger des recherches (1997, Université Paris IX Dauphine - UFR Mathématiques de la décision).
    • (1997) Habilitation à Diriger des Recherches
    • Le Bris, C.1
  • 19
    • 33846040104 scopus 로고
    • The Thomas-Fermi theory of atoms, molecules and solids
    • E. H. Lieb and B. Simon, The Thomas-Fermi theory of atoms, molecules and solids, Adv. Math. 23 (1977) 22-116.
    • (1977) Adv. Math. , vol.23 , pp. 22-116
    • Lieb, E.H.1    Simon, B.2
  • 20
    • 0000368619 scopus 로고
    • The Hartree-Fock theory for Coulomb systems
    • E. H. Lieb and B. Simon, The Hartree-Fock theory for Coulomb systems, Comm. Math. Phys. 53 (1977) 185-194.
    • (1977) Comm. Math. Phys. , vol.53 , pp. 185-194
    • Lieb, E.H.1    Simon, B.2
  • 21
    • 84962671479 scopus 로고
    • Zur wellenmechanischen Behandlung von Vielkörperproblemen
    • V. W. Macke, Zur wellenmechanischen Behandlung von Vielkörperproblemen, Ann. Phys. (Leipzig) 17 (1955) 1-9.
    • (1955) Ann. Phys. (Leipzig) , vol.17 , pp. 1-9
    • Macke, V.W.1
  • 22
    • 0000985040 scopus 로고
    • Variational methods based on the density matrix
    • N. H. March and W. H. Young, Variational methods based on the density matrix, Proc. Phys. Soc. 72 (1958) 182-192.
    • (1958) Proc. Phys. Soc. , vol.72 , pp. 182-192
    • March, N.H.1    Young, W.H.2
  • 23
    • 0346815331 scopus 로고
    • Quantum steady states: The Bloch-Poisson model
    • Berlin, Technical Report 91-8
    • N. J. Mauser, Quantum steady states: The Bloch-Poisson model, Proc. Numsim 91, Berlin, Technical Report 91-8, ZIB (1991) 62-67.
    • (1991) Proc. Numsim 91 , vol.ZIB , pp. 62-67
    • Mauser, N.J.1
  • 25
    • 84987112004 scopus 로고
    • Method of local-scaling transformation and DFT in quantum chemistry, Part I, Internat
    • I. Petkov, M. Stoitsov and E. Kryachko, Method of local-scaling transformation and DFT in quantum chemistry, Part I, Internat. J. Quantum. Chem. 29 (1986) 149-161.
    • (1986) J. Quantum. Chem. , vol.29 , pp. 149-161
    • Petkov, I.1    Stoitsov, M.2    Kryachko, E.3
  • 26
    • 0001929193 scopus 로고
    • Solution of Hartree-Fock equations for Coulomb systems
    • P. L. Lions, Solution of Hartree-Fock equations for Coulomb systems, Comm. Math. Phys. 109 (1987) 33-97.
    • (1987) Comm. Math. Phys. , vol.109 , pp. 33-97
    • Lions, P.L.1
  • 28
    • 33846410438 scopus 로고
    • A simplification of the Hartree-Fock method
    • J. C. Slater, A simplification of the Hartree-Fock method, Phys. Rev. 81 (1951) 385-390.
    • (1951) Phys. Rev. , vol.81 , pp. 385-390
    • Slater, J.C.1
  • 29
    • 0001746857 scopus 로고
    • A new phase space localization technique with application to the sum of negative eigenvalues of Schrödinger operators
    • H. K. H. Siedentop and R. Weikard, A new phase space localization technique with application to the sum of negative eigenvalues of Schrödinger operators, Ann. Sci. École Norm. Sup., 4 Série, t.24 (1991) 215-225.
    • (1991) Ann. Sci. École Norm. Sup., 4 Série , vol.24 , pp. 215-225
    • Siedentop, H.K.H.1    Weikard, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.