ACCURACY OF MEAN-FIELD APPROXIMATIONS FOR ATOMS AND MOLECULES

被引：29
作者：
BACH, V
机构：
[1] Fachbereich Mathematik MA 7-2, Technische Universität Berlin, Berlin, D-10623
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1993年 / 155卷 / 02期
关键词：
D O I：
10.1007/BF02097395
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We estimate the accuracy of the mean field approximation induced by the Thomas-Fermi potential for the ground state energy of atoms and molecules. Taking the Dirac exchange correction into account, we show the error to be of the form O(Z5/3-) + D for any delta < 2/231 as the total nuclear charge Z becomes large. D is an electrostatic energy of the difference density that measures the deviation of the mean field ground state from self-consistency.
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页码：295 / 310
页数：16
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