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Volumn 132, Issue 19, 2010, Pages

Aufbau derived from a unified treatment of occupation numbers in Hartree-Fock, Kohn-Sham, and natural orbital theories with the Karush-Kuhn-Tucker conditions for the inequality constraints ni ≤1 and ni ≥0

Author keywords

[No Author keywords available]

Indexed keywords

DEGENERATE LEVELS; ELECTRONIC STRUCTURE THEORY; EQUALITY CONSTRAINTS; HARTREE-FOCK; INDEPENDENT PARTICLE MODELS; INEQUALITY CONSTRAINT; KARUSH KUHN TUCKER CONDITION; KARUSH KUHN TUCKERS; LOWER ENERGIES; NATURAL ORBITALS; ORBITAL ENERGY; ORBITALS;

EID: 77953006105     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3426319     Document Type: Article
Times cited : (53)

References (43)
  • 1
    • 77953006381 scopus 로고
    • M.S. thesis, University of Chicago.
    • W. Karush, M.S. thesis, University of Chicago, 1939.
    • (1939)
    • Karush, W.1
  • 3
    • 0000681089 scopus 로고
    • PRLTAO 0031-9007, () 10.1103/PhysRevLett.46.457;, Phys. Rev. Lett. PRLTAO 0031-9007 47, 69 (E) (1981). 10.1103/PhysRevLett.47.69
    • E. H. Lieb, Phys. Rev. Lett. PRLTAO 0031-9007 46, 457 (1981) 10.1103/PhysRevLett.46.457; E. H. Lieb, Phys. Rev. Lett. PRLTAO 0031-9007 47, 69 (E) (1981). 10.1103/PhysRevLett.47.69
    • (1981) Phys. Rev. Lett. , vol.46 , pp. 457
    • Lieb, E.H.1    Lieb, E.H.2
  • 4
    • 10044230569 scopus 로고
    • PLRAAN 1050-2947,. 10.1103/PhysRevA.26.1200
    • M. Levy, Phys. Rev. A PLRAAN 1050-2947 26, 1200 (1982). 10.1103/PhysRevA.26.1200
    • (1982) Phys. Rev. A , vol.26 , pp. 1200
    • Levy, M.1
  • 6
    • 0000630643 scopus 로고
    • PRBMDO 0163-1829,. 10.1103/PhysRevB.12.2111
    • T. L. Gilbert, Phys. Rev. B PRBMDO 0163-1829 12, 2111 (1975). 10.1103/PhysRevB.12.2111
    • (1975) Phys. Rev. B , vol.12 , pp. 2111
    • Gilbert, T.L.1
  • 7
    • 24544432103 scopus 로고
    • PRVAAH 0096-8250,. 10.1103/PhysRev.97.1474
    • P. -O. Löwdin, Phys. Rev. PRVAAH 0096-8250 97, 1474 (1955). 10.1103/PhysRev.97.1474
    • (1955) Phys. Rev. , vol.97 , pp. 1474
    • Löwdin, P.-O.1
  • 8
    • 36149015994 scopus 로고
    • RMPHAT 0034-6861,. 10.1103/RevModPhys.35.668
    • A. J. Coleman, Rev. Mod. Phys. RMPHAT 0034-6861 35, 668 (1963). 10.1103/RevModPhys.35.668
    • (1963) Rev. Mod. Phys. , vol.35 , pp. 668
    • Coleman, A.J.1
  • 9
    • 10644250257 scopus 로고
    • PRVAAH 0096-8250,. 10.1103/PhysRev.136.B864
    • P. Hohenberg and W. Kohn, Phys. Rev. PRVAAH 0096-8250 136, B864 (1964). 10.1103/PhysRev.136.B864
    • (1964) Phys. Rev. , vol.136 , pp. 864
    • Hohenberg, P.1    Kohn, W.2
  • 10
    • 0042113153 scopus 로고
    • PRVAAH 0096-8250,. 10.1103/PhysRev.140.A1133
    • W. Kohn and L. J. Sham, Phys. Rev. PRVAAH 0096-8250 140, A1133 (1965). 10.1103/PhysRev.140.A1133
    • (1965) Phys. Rev. , vol.140 , pp. 1133
    • Kohn, W.1    Sham, L.J.2
  • 11
    • 77953004143 scopus 로고    scopus 로고
    • M.S. thesis, Rijksuniversiteit Groningen.
    • R. Klooster, M.S. thesis, Rijksuniversiteit Groningen, 2007.
    • (2007)
    • Klooster, R.1
  • 12
    • 36549099962 scopus 로고
    • JCPSA6 0021-9606,. 10.1063/1.448595
    • G. Zumbach and K. Maschke, J. Chem. Phys. JCPSA6 0021-9606 82, 5604 (1985). 10.1063/1.448595
    • (1985) J. Chem. Phys. , vol.82 , pp. 5604
    • Zumbach, G.1    Maschke, K.2
  • 15
    • 0003105868 scopus 로고
    • AQCHA9 0065-3276,. 10.1016/S0065-3276(08)60541-9
    • J. C. Slater, Adv. Quantum Chem. AQCHA9 0065-3276 6, 1 (1972). 10.1016/S0065-3276(08)60541-9
    • (1972) Adv. Quantum Chem. , vol.6 , pp. 1
    • Slater, J.C.1
  • 16
    • 0000058492 scopus 로고
    • PRBMDO 0163-1829,. 10.1103/PhysRevB.18.7165
    • J. F. Janak, Phys. Rev. B PRBMDO 0163-1829 18, 7165 (1978). 10.1103/PhysRevB.18.7165
    • (1978) Phys. Rev. B , vol.18 , pp. 7165
    • Janak, J.F.1
  • 18
    • 84990669494 scopus 로고
    • IJQCB2 0020-7608,. 10.1002/qua.560240302
    • E. H. Lieb, Int. J. Quantum Chem. IJQCB2 0020-7608 24, 243 (1983). 10.1002/qua.560240302
    • (1983) Int. J. Quantum Chem. , vol.24 , pp. 243
    • Lieb, E.H.1
  • 20
    • 0003982971 scopus 로고    scopus 로고
    • Springer Series in Operations Research (Springer-Verlag, New York). 10.1007/b98874
    • J. Nocedal and S. J. Wright, Numerical Optimization, Springer Series in Operations Research (Springer-Verlag, New York, 1999). 10.1007/b98874
    • (1999) Numerical Optimization
    • Nocedal, J.1    Wright, S.J.2
  • 22
    • 27744496852 scopus 로고    scopus 로고
    • Effective potential for natural spin orbitals
    • DOI 10.1103/PhysRevLett.94.233002, 233002
    • K. Pernal, Phys. Rev. Lett. PRLTAO 0031-9007 94, 233002 (2005). 10.1103/PhysRevLett.94.233002 (Pubitemid 41636545)
    • (2005) Physical Review Letters , vol.94 , Issue.23 , pp. 1-4
    • Pernal, K.1
  • 23
    • 70449359755 scopus 로고    scopus 로고
    • JPCAFH 1089-5639,. 10.1021/jp9002593
    • B. N. Plakhutin and E. R. Davidson, J. Phys. Chem. A JPCAFH 1089-5639 113, 12386 (2009). 10.1021/jp9002593
    • (2009) J. Phys. Chem. A , vol.113 , pp. 12386
    • Plakhutin, B.N.1    Davidson, E.R.2
  • 24
    • 0742317141 scopus 로고    scopus 로고
    • E. Canc̀s, M. Defranceschi, W. Kutzelnigg, C. Le Bris, and Y. Maday, Vol., edited by P. G. Ciarlet (North-Holland, Amsterdam),.
    • E. Canc̀s, M. Defranceschi, W. Kutzelnigg, C. Le Bris, and, Y. Maday, Handbook of Numerical Analysis, Vol. X, edited by, P. G. Ciarlet, (North-Holland, Amsterdam, 2003), p. 3.
    • (2003) Handbook of Numerical Analysis , vol.10 , pp. 3
  • 25
    • 0000317461 scopus 로고
    • JCPSA6 0021-9606,. 10.1063/1.440249
    • S. M. Valone, J. Chem. Phys. JCPSA6 0021-9606 73, 1344 (1980). 10.1063/1.440249
    • (1980) J. Chem. Phys. , vol.73 , pp. 1344
    • Valone, S.M.1
  • 26
    • 0000329098 scopus 로고
    • JCPSA6 0021-9606,. 10.1063/1.440656
    • S. Valone, J. Chem. Phys. JCPSA6 0021-9606 73, 4653 (1980). 10.1063/1.440656
    • (1980) J. Chem. Phys. , vol.73 , pp. 4653
    • Valone, S.1
  • 27
    • 33749080761 scopus 로고    scopus 로고
    • Unoccupied natural orbitals in two-electron Coulombic systems
    • DOI 10.1016/j.cplett.2006.08.111, PII S0009261406012723
    • J. Cioslowski and K. Pernal, Chem. Phys. Lett. CHPLBC 0009-2614 430, 188 (2006). 10.1016/j.cplett.2006.08.111 (Pubitemid 44465871)
    • (2006) Chemical Physics Letters , vol.430 , Issue.1-3 , pp. 188-190
    • Cioslowski, J.1    Pernal, K.2
  • 28
    • 0001596186 scopus 로고
    • PYLBAJ 0370-2693.
    • A. M. K. Müller, Phys. Lett. PYLBAJ 0370-2693 105A, 446 (1984).
    • (1984) Phys. Lett. , vol.105 A , pp. 446
    • Müller, A.M.K.1
  • 29
    • 77952998184 scopus 로고
    • Ph.D. thesis, Vrije Universiteit.
    • M. Buijse, Ph.D. thesis, Vrije Universiteit, 1991.
    • (1991)
    • Buijse, M.1
  • 30
    • 0037138925 scopus 로고    scopus 로고
    • An approximate exchange-correlation hole density as a functional of the natural orbitals
    • DOI 10.1080/00268970110070243
    • M. Buijse and E. J. Baerends, Mol. Phys. MOPHAM 0026-8976 100, 401 (2002). 10.1080/00268970110070243 (Pubitemid 35445878)
    • (2002) Molecular Physics , vol.100 , Issue.4 , pp. 401-421
    • Buijse, M.A.1    Baerends, E.J.2
  • 31
    • 0000588905 scopus 로고    scopus 로고
    • PRLTAO 0031-9007,. 10.1103/PhysRevLett.81.866
    • S. Goedecker and C. Umrigar, Phys. Rev. Lett. PRLTAO 0031-9007 81, 866 (1998). 10.1103/PhysRevLett.81.866
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 866
    • Goedecker, S.1    Umrigar, C.2
  • 32
    • 0037965419 scopus 로고    scopus 로고
    • PRBMDO 0163-1829,. 10.1103/PhysRevB.61.7348
    • G. Csányi and T. A. Arias, Phys. Rev. B PRBMDO 0163-1829 61, 7348 (2000). 10.1103/PhysRevB.61.7348
    • (2000) Phys. Rev. B , vol.61 , pp. 7348
    • Csányi, G.1    Arias, T.A.2
  • 34
    • 0036508643 scopus 로고    scopus 로고
    • PLRAAN 1050-2947,. 10.1103/PhysRevA.65.032510
    • G. Csányi, S. Goedecker, and T. A. Arias, Phys. Rev. A PLRAAN 1050-2947 65, 032510 (2002). 10.1103/PhysRevA.65.032510
    • (2002) Phys. Rev. A , vol.65 , pp. 032510
    • Csányi, G.1    Goedecker, S.2    Arias, T.A.3
  • 35
    • 0037461516 scopus 로고    scopus 로고
    • JCPSA6 0021-9606,. 10.1063/1.1523060
    • V. N. Staroverov and G. E. Scuseria, J. Chem. Phys. JCPSA6 0021-9606 117, 11107 (2002). 10.1063/1.1523060
    • (2002) J. Chem. Phys. , vol.117 , pp. 11107
    • Staroverov, V.N.1    Scuseria, G.E.2
  • 36
    • 12144290749 scopus 로고    scopus 로고
    • JCPSA6 0021-9606,. 10.1063/1.1634554
    • C. Kollmar and B. A. Heβ, J. Chem. Phys. JCPSA6 0021-9606 120, 3158 (2004). 10.1063/1.1634554
    • (2004) J. Chem. Phys. , vol.120 , pp. 3158
    • Kollmar, C.1    He, B.A.2
  • 37
    • 28844442388 scopus 로고    scopus 로고
    • Assessment of a new approach for the two-electron cumulant in natural-orbital-functional theory
    • DOI 10.1063/1.2135289, 214102
    • P. Leiva and M. Piris, J. Chem. Phys. JCPSA6 0021-9606 123, 214102 (2005). 10.1063/1.2135289 (Pubitemid 41779766)
    • (2005) Journal of Chemical Physics , vol.123 , Issue.21 , pp. 1-7
    • Leiva, P.1    Piris, M.2
  • 38
    • 20844432764 scopus 로고    scopus 로고
    • An improved density matrix functional by physically motivated repulsive corrections
    • DOI 10.1063/1.1906203, 204102
    • O. V. Gritsenko, K. Pernal, and E. J. Baerends, J. Chem. Phys. JCPSA6 0021-9606 122, 204102 (2005). 10.1063/1.1906203 (Pubitemid 40858465)
    • (2005) Journal of Chemical Physics , vol.122 , Issue.20 , pp. 1-13
    • Gritsenko, O.1    Pernal, K.2    Baerends, E.J.3
  • 39
    • 34347341728 scopus 로고    scopus 로고
    • PRBMDO 0163-1829,. 10.1103/PhysRevB.75.195120
    • N. N. Lathiotakis, N. Helbig, and E. K. U. Gross, Phys. Rev. B PRBMDO 0163-1829 75, 195120 (2007). 10.1103/PhysRevB.75.195120
    • (2007) Phys. Rev. B , vol.75 , pp. 195120
    • Lathiotakis, N.N.1    Helbig, N.2    Gross, E.K.U.3
  • 42
    • 70349628969 scopus 로고    scopus 로고
    • JCPSA6 0021-9606,. 10.1063/1.3237029
    • T. Tsuchimochi and G. E. Scuseria, J. Chem. Phys. JCPSA6 0021-9606 131, 121102 (2009). 10.1063/1.3237029
    • (2009) J. Chem. Phys. , vol.131 , pp. 121102
    • Tsuchimochi, T.1    Scuseria, G.E.2
  • 43
    • 72049088561 scopus 로고    scopus 로고
    • JCPSA6 0021-9606,. 10.1063/1.3257965
    • G. E. Scuseria and T. Tsuchimochi, J. Chem. Phys. JCPSA6 0021-9606 131, 164119 (2009). 10.1063/1.3257965
    • (2009) J. Chem. Phys. , vol.131 , pp. 164119
    • Scuseria, G.E.1    Tsuchimochi, T.2


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