Periodicity of the infinite-volume ground state of a one-dimensional quantum model

被引：20

作者：

Blanc, X

Le Bris, C

机构：

[1] Ecole Natl Ponts & Chaussees, CERMICS, F-77455 Marne La Vallee 2, France

[2] Ecole Normale Super, F-75230 Paris 05, France

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 48卷 / 06期

关键词：

quantum chemistry; periodicity; crystalline order; ground state; nonlinear;

D O I：

10.1016/S0362-546X(00)00215-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A set of N identical pointwise nuclei of charge +1 in the ground state was studied to understand the quantum feature of electrons. The system was found to converge to a periodic system with an increase in the value of N to infinity. The minimum of energy per nuclei was found only for the equidistant configuration for a given periodic configuration of the nuclei.

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页码：791 / 803

页数：13

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