Topology of potential hypersurfaces of two, three and four dipoles interacting at long distances

被引：0

作者：

Michel Rérat

Michel Gélize

Daniel Liotard

机构：

[1] Université de Pau,Laboratoire de Chimie Structurale

[2] Université de Bordeaux I,Laboratoire de Physico‐Chimie Théorique

来源：

Journal of Mathematical Chemistry | 1997年 / 22卷

关键词：

Potential Function; Betti Number; Morse Theory; Morse Function; Symmetry Operator;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The whole sets of critical points of analytical functions corresponding to the long‐range two‐body interaction between two, three and four dipole vectors set at the vertices of several polygons are determined using topology theorems. Betti numbers associated to the configuration spaces are first obtained, then stationary points are located via an analytical gradient method till the Morse inequalities are checked.

引用

页码：235 / 247

页数：12

共 24 条

[1] Topology of potential hypersurfaces of two, three and four dipoles interacting at long distances
Rerat, M
Gelize, M
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JOURNAL OF MATHEMATICAL CHEMISTRY, 1997, 22 (2-4) : 235 - 247
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