A New Estimate on the Two-Dimensional Indirect Coulomb Energy

被引：6

作者：

Benguria, Rafael D. ^{[1
]}

Gallegos, Pablo ^{[1
]}

Tusek, Matej ^{[1
]}

机构：

[1] Pontificia Univ Catolica Chile, Dept Fis, Santiago, Chile

来源：

ANNALES HENRI POINCARE | 2012年 / 13卷 / 08期

关键词：

EXCHANGE-CORRELATION-ENERGY; DIRAC-WEIZSACKER MODEL; STABILITY; MATTER; ATOMS;

D O I：

10.1007/s00023-012-0176-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove a new lower bound on the indirect Coulomb energy in two-dimensional quantum mechanics in terms of the single particle density of the system. The new universal lower bound is an alternative to the Lieb-Solovej-Yngvason bound with a smaller constant, , which also involves an additive gradient energy term of the single particle density.

引用

页码：1733 / 1744

页数：12

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