EXISTENCE OF MINIMIZERS IN RESTRICTED HARTREE-FOCK THEORY

被引：0
作者：
Hantsch, Fabian [1 ]
机构：
[1] Univ Stuttgart, Fachbereich Math, D-70550 Stuttgart, Germany
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年
关键词：
Restricted Hartree-Fock functional; ground states; variational methods; EQUATIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we establish the existence of ground states for atoms within several restricted Hartree-Fock theories. It is shown, for example, that there exists a ground state for closed shell atoms with N electrons and nuclear charge Z >= N - 1. This has to be compared with the general Hartree-Fock theory where the existence of a minimizer is known for Z > N - 1 only.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] Existence and behavior of minimizers for a class of Hartree-Fock type systems
    Zhang, He
    Chen, Haibo
    APPLIED MATHEMATICS LETTERS, 2025, 165
  • [2] Existence of normalized solutions for the coupled Hartree-Fock type system
    Wang, Jun
    MATHEMATISCHE NACHRICHTEN, 2021, 294 (10) : 1987 - 2020
  • [3] ORBITALLY STABLE STATES IN GENERALIZED HARTREE-FOCK THEORY
    Dolbeault, Jean
    Felmer, Patricio
    Lewin, Mathieu
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2009, 19 (03) : 347 - 367
  • [4] Hartree-Fock type systems: Existence of ground states and asymptotic behavior
    D'Avenia, Pietro
    Maia, Liliane
    Siciliano, Gaetano
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 335 : 580 - 614
  • [5] Hartree-Fock theory with a self-generated magnetic field
    Comelli, S.
    Garcia-Cervera, C. J.
    JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (06)
  • [6] The ground states for Hartree-Fock systems with a general nonlinearity
    Chen, Mingzhen
    Jin, Hua
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (02) : 1837 - 1851
  • [7] On a planar Hartree-Fock type system
    Carvalho, J.
    Figueiredo, G.
    Maia, L.
    Medeiros, E.
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2022, 29 (05):
  • [8] Symmetry Breaking in Spin-Restricted, Open-Shell Hartree-Fock Wave Functions
    Li, Xiangzhu
    Paldus, Josef
    INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2009, 109 (08) : 1756 - 1765
  • [9] Time-dependent projected Hartree-Fock
    Tsuchimochi, Takashi
    Van Voorhisa, Troy
    JOURNAL OF CHEMICAL PHYSICS, 2015, 142 (12)
  • [10] MULTICONFIGURATION HARTREE-FOCK THEORY FOR PSEUDORELATIVISTIC SYSTEMS: THE TIME-DEPENDENT CASE
    Hajaiej, Hichem
    Markowich, Peter A.
    Trabelsi, Saber
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2014, 24 (03) : 599 - 626
12345