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.
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页数：16
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