Spectral asymptotics for nonsmooth perturbations of the harmonic oscillator

被引：4

作者：

Akhmerova, E. F. ^{[1
]}

机构：

[1] Socioecon Res Inst, Ufa, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2008年 / 49卷 / 06期

关键词：

harmonic oscillator; spectral asymptotics; nonsmooth perturbation;

D O I：

10.1007/s11202-008-0093-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain the spectral asymptotics of a nonsmooth perturbation of the one-dimensional harmonic oscillator. We use the technique of perturbation theory which is based on an asymptotic presentation of the part of the kernel of the nonperturbed operator resolvent in some neighborhood of an eigenvalue.

引用

页码：968 / 984

页数：17

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