Direct sum of Coulomb potential without ambiguities of conditionally convergent series

被引：10

作者：

Takemoto, H ^{[1
]}

Ohyama, T ^{[1
]}

Tohsaki, A ^{[1
]}

机构：

[1] Shinshu Univ, Dept Fine Mat Engn, Ueda, Nagano 3868567, Japan

来源：

PROGRESS OF THEORETICAL PHYSICS | 2003年 / 109卷 / 04期

关键词：

D O I：

10.1143/PTP.109.563

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a definitive expression to evaluate electrostatic energies under periodic conditions, starting from the Yukawa potential with a finite range and summing up positive and negative contributions separately. We find a dimension-dependent function that can be used to solve problems concerning divergences and ambiguities in the direct sum of Coulomb potentials. The infinite-range limit of this function leads to a universal constant independent of lattice structure, which reveals the origin of ambiguities from conditionally convergent series in the sum of Coulomb potentials.

引用

页码：563 / 573

页数：11

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