On the Kohn-Sham Equations with Periodic Background Potentials

被引：0
作者：
E. Prodan
P. Nordlander
机构：
[1] Rice University,Department of Physics
来源：
Journal of Statistical Physics | 2003年 / 111卷
关键词：
Density functional theory; Kohn-Sham equations; existence and uniqueness; thermodynamic limit; periodic potentials;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the question of existence and uniqueness for the finite temperature Kohn-Sham equations. For finite volumes, a unique soluion is shown to exists if the effective potential satisfies a set of general conditions and the coupling constant is smaller than a certain value. For periodic background potentials, this value is proven to be volume independent. In this case, the finite volume solutions are shown to converge as the thermodynamic limit is considered. The local density approximation is shown to satisfy the general conditions mentioned above.
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页码：967 / 992
页数：25
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