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
  • [21] Nonrelativistic limit and some properties of solutions for nonlinear Dirac equations
    Ding, Yanheng
    Dong, Xiaojing
    Guo, Qi
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021, 60 (04)
  • [22] Nonrelativistic limit of normalized solutions to a class of nonlinear Dirac equations
    Chen, Pan
    Ding, Yanheng
    Guo, Qi
    Wang, Hua-Yang
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2024, 63 (04)
  • [23] Nonrelativistic limit and some properties of solutions for nonlinear Dirac equations
    Yanheng Ding
    Xiaojing Dong
    Qi Guo
    Calculus of Variations and Partial Differential Equations, 2021, 60
  • [24] Nonrelativistic limit and nonexistence of stationary solutions of nonlinear Dirac equations
    Dong, Xiaojing
    Ding, Yanheng
    Guo, Qi
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 372 : 161 - 193
  • [26] THE ZORA FORMALISM APPLIED TO THE DIRAC-FOCK EQUATION
    FAAS, S
    SNIJDERS, JG
    VANLENTHE, JH
    VANLENTHE, E
    BAERENDS, EJ
    CHEMICAL PHYSICS LETTERS, 1995, 246 (06) : 632 - 640
  • [27] A New Definition of the Dirac-Fock Ground State
    Sere, Eric
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2023, 404 (3) : 1275 - 1307
  • [28] ON THE NONRELATIVISTIC LIMIT OF THE DIRAC HAMILTONIAN
    GRIGORE, DR
    NENCIU, G
    PURICE, R
    ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE, 1989, 51 (03): : 231 - 263
  • [29] PROJECTION OPERATOR IN THE MULTICONFIGURATION DIRAC-FOCK METHOD
    INDELICATO, P
    DESCLAUX, JP
    PHYSICA SCRIPTA, 1993, T46 : 110 - 114
  • [30] SCF DIRAC-FOCK CALCULATIONS FOR LANTHANIDE ATOMS
    WABER, JT
    MANN, JE
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1970, 15 (03): : 301 - &