晶体中隐含的半群结构

Hidden semi-group structures in crystals

序列性和莫比吾思反演已应用到物理中各类逆问题,诸如黑体辐射逆问题、比热逆问题和各类费米体系逆问题.文章要介绍这种方法对提取体材料中原子相互作用势的结合能逆问题的应用,以及对提取界面两侧原子间相互作用势的界面粘结能逆问题的应用.这些方法的关键是要发现对象体系中的半群结构.

The ordering and MObius method has been applied to a variety of inverse problems in physics, such as the inverse blackbody, heat capacity and Fermi system problems. Recent progress in the application of this methodology to the inverse cohesion problem for inter-atomic potentials in bulk materials and to the inverse adhesion problem for inter-atomic potentials across interfaces is reviewed. The key step in this methodology is to explore the semi-group structure in the system under consideration.