A singularity-based eigenfunction decomposition for Kohn-Sham equations  

作　　者：ZHANG Xin ZHOU Aihui 

机构地区：[1]SWIEE, Southwest China Research Institute of Electronic Equipment [2]LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing,Academy of Mathematics and Systems Science, Chinese Academy of Sciences

出　　处：《Science China Mathematics》2016年第8期1623-1634,共12页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 91330202);the Funds for Creative Research Groups of China (Grant No. 11321061);National Basic Research Program of China (Grant No. 2011CB309703);the National Center for Mathematics and Interdisciplinary Sciences of the Chinese Academy of Sciences

摘　　要：We show that the eigenfunctions of Kohn-Sham equations can be decomposed as ■ = F ψ, where F depends on the Coulomb potential only and is locally Lipschitz, while ψ has better regularity than ■.We show that the eigenfunctions of Kohn-Sham equations can be decomposed as ψ =Fψ, where F depends on the Coulomb potential only and is locally Lipschitz, while ψ has better regularity than ψ.

关 键 词：DECOMPOSITION EIGENFUNCTION Kohn-Sham equation full-potential REGULARITY SINGULARITY 

分 类 号：O175[理学—数学]