Asymptotics of spectral data of a harmonic oscillator perturbed by a potential

被引：0

作者：

Chelkak D.S. ^{[1
]}

机构：

[1] St. Petersburg State University,

来源：

Journal of Mathematical Sciences | 2005年 / 129卷 / 4期

基金：

俄罗斯基础研究基金会;

关键词：

Spectral Data; Harmonic Oscillator; Spectral Problem; Inverse Spectral Problem;

D O I：

10.1007/s10958-005-0342-5

中图分类号：

学科分类号：

摘要：

Asymptotics of spectral data of a perturbed harmonic oscillator -y″ + x2y + q(x)y are obtained for potentials q(x) such that q′, xq ∈ L2(ℝ). These results are important in the solution of the corresponding inverse spectral problem. Bibliography: 7 titles. ©2005 Springer Science+Business Media, Inc.

引用

页码：4053 / 4082

页数：29

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