On moments of negative eigenvalues for the Pauli operator

被引：8

作者：

Shen, ZW ^{[1
]}

机构：

[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1998年 / 149卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jdeq.1998.3473

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper concerns the three-dimensional Pauli operator P=(sigma . (p - A(x)))(2) V(x) with a nonhomogeneous magnetic field B = curl A. The following Lieb-Thirring type inequality for the moment of negative eigenvalues is established as [GRAPHICS] where p > 3/2 and b(p)(x) is the L-p average of \B\ over certain cube centered at x with a side length scaling like \B\(-1/2). We also show that, if B has a constant direction. [GRAPHICS] where gamma>1/2 and p>1. (C) 1998 Academic Press.

引用

页码：292 / 327

页数：36

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