Semiclassical asymptotics of eigenvalues for Dirac operators with magnetic fields

被引：0

作者：

Suzuki, N

机构：

[1] Anjo, Aichi 446-0062

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 253卷 / 02期

关键词：

Dirac operators; Schrodinger operators; magnetic fields; semiclassical asymptotics; eigenvalues;

D O I：

10.1006/jmaa.2000.7146

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of the present paper is to investigate the semiclassical asymptotics of eigenvalues for the Dirac operator with magnetic fields. In the case of the Schrodinger operator with magnetic field. this problem was recently solved by Matsumoto. We show that the nth positive eigenvalue of the Dirac operator behaves like that of the associated Schrodinger operator via unitary equivalence of their spectral measures. (C) 2001 Academic Press.

引用

页码：406 / 413

页数：8

共 5 条

[1] SCHRODINGER AND DIRAC OPERATORS WITH SINGULAR POTENTIALS AND HYPERBOLIC EQUATIONS [J].