CLASSICAL AND NONCLASSICAL EIGENVALUE ASYMPTOTICS FOR MAGNETIC SCHRODINGER-OPERATORS

被引：12

作者：

MATSUMOTO, H

机构：

[1] Department of Mathematics, Faculty of General Education, Gifu University, Gifu, 501-11, Yanagido

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1991年 / 95卷 / 02期

关键词：

D O I：

10.1016/0022-1236(91)90039-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider Schrödinger operators with magnetic fields and study which of the magnetic field and the scalar potential contributes to the leading term of the asymptotic distribution of eigenvalues. By studying the asymptotic behavior of the trace of the heat kernels, we see that, if the norm of the magnetic field diverges at infinity faster than the scalar potential, only the magnetic field contributes to the leading asymptotic and that only the scalar potential does if the opposite under mild conditions. © 1991.

引用

页码：460 / 482

页数：23

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