Nonrelativistic limit of the Dirac-Fock equations

被引：27
|
作者：
Esteban, MJ [1 ]
Séré, E [1 ]
机构：
[1] Univ Paris 09, CEREMADE, CNRS, UMR 7534, F-75775 Paris 16, France
来源：
ANNALES HENRI POINCARE | 2001年 / 2卷 / 05期
关键词：
D O I：
10.1007/s00023-001-8600-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the Hartree-Fock equations are proved to be the non relativistic limit of the Dirac-Fock equations as far as convergence of "stationary states" is concerned. This property is used to derive a meaningful definition of "ground state" energy and "ground state" solutions for the Dirac-Fock model.
引用
收藏
页码：941 / 961
页数：21
相关论文
共 50 条
  • [31] Existence of Minimizers for the Dirac-Fock Model of Crystals
    Catto, Isabelle
    Meng, Long
    Paturel, Eric
    Sere, Eric
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2024, 248 (04)
  • [32] Dirac-Fock photoionization parameters for HAXPES applications
    Trzhaskovskaya, M. B.
    Yarzhemsky, V. G.
    ATOMIC DATA AND NUCLEAR DATA TABLES, 2018, 119 : 99 - 174
  • [33] Single configuration Dirac-Fock atom code
    Ankudinov, AL
    Zabinsky, SI
    Rehr, JJ
    COMPUTER PHYSICS COMMUNICATIONS, 1996, 98 (03) : 359 - 364
  • [34] NONRELATIVISTIC LIMIT OF DIRAC THEORY
    HUNZIKER, W
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1975, 40 (03) : 215 - 222
  • [35] FERMION STOCHASTIC CALCULUS IN DIRAC-FOCK SPACE
    APPLEBAUM, D
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (02): : 257 - 270
  • [36] SPECTROSCOPIC STUDIES WITH A MULTICONFIGURATION DIRAC-FOCK PROGRAM
    BEATHAM, N
    GRANT, IP
    MCKENZIE, BJ
    ROSE, SJ
    PHYSICA SCRIPTA, 1980, 21 (3-4) : 423 - 431
  • [37] Some considerations about Dirac-Fock calculations
    Neto, AC
    Librelon, PR
    Muniz, EP
    Jorge, FE
    Colistete, R
    JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM, 2001, 539 : 11 - 15
  • [38] A polynomial version of the generator coordinate Dirac-Fock method
    Haiduke, RLA
    De Macedo, LGM
    Barbosa, RC
    Da Silva, ABF
    JOURNAL OF COMPUTATIONAL CHEMISTRY, 2004, 25 (15) : 1904 - 1909
  • [39] Complexity of Dirac-Fock atom increases with atomic number
    Borgoo, A.
    De Proft, F.
    Geerlings, P.
    Sen, K. D.
    CHEMICAL PHYSICS LETTERS, 2007, 444 (1-3) : 186 - 191
  • [40] LAGRANGIAN MULTIPLIERS IN FROZEN CORE DIRAC-FOCK CALCULATIONS
    HUANG, KN
    PHYSICS LETTERS A, 1978, 67 (02) : 113 - 115
12345