Semi-classical states for non-self-adjoint Schrodinger operators

被引：70

作者：

Davies, EB ^{[1
]}

机构：

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

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1999年 / 200卷 / 01期

关键词：

D O I：

10.1007/s002200050521

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that the spectrum of certain non-self-adjoint Schrodinger operators is unstable in the semi-classical limit h --> 0. Similar results hold for a fixed operator in the high energy limit. The method involves the construction of approximate semiclassical modes of the operator by the JWKB method for energies far from the spectrum.

引用

页码：35 / 41

页数：7

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