Spectral properties of non-self-adjoint operators in the semi-classical regime

被引：12

作者：

Redparth, P ^{[1
]}

机构：

[1] Kings Coll London, Dept Math, London WC2R 2LS, England

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2001年 / 177卷 / 02期

关键词：

Schrodinger operator; non-self-adjoint operator; Sturm-Liouville problem; Airy function; Stokes' lines; characteristic determinant; asymptotic analysis;

D O I：

10.1006/jdeq.2000.3992

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a spectral description of the semi-classical Schrodinger operator with a piecewise-linear, complex-valued potential. Moreover, using these results, we give an example to show how an arbitrarily small fixed perturbation of a non-self-adjoint operator can completely change the asymptotic spectrum of the operator in the semi-classical limit. (C) 2001 Academic Press.

引用

页码：307 / 330

页数：24

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