The general method to solve the inverse lattice problems in physics

被引：2
|
作者：
Shen, YN [1 ]
Chen, ZD
Si, XH
机构：
[1] Univ Sci & Technol Beijing, Dept Math & Mech, Beijing 100083, Peoples R China
[2] China Univ Geosci, Sch Informat Engn, Beijing 100083, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 279卷 / 02期
关键词：
inverse lattice problem; Mobius inversion formula; partially order set;
D O I：
10.1016/S0022-247X(03)00069-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By a system of linear equations on a multiplicative semigroup, we present a general mathematical method to determine the interatomic potential of various lattice structures in order to compute the performances of materials, and show the relation between the method and the Mobius inversion. (C) 2003 Elsevier Science (USA). All rights reserved.
引用
收藏
页码：723 / 739
页数：17
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