The inverse problem for perturbed harmonic oscillator on the half-line with a dirichlet boundary condition

被引：18

作者：

Chelkak, Dmitry

Korotyaev, Evgeny

机构：

[1] St Petersburg State Univ, Math Mech Fac, Dept Math Anal, St Petersburg 198504, Russia

[2] Humboldt Univ, Inst Math, D-12489 Berlin, Germany

来源：

ANNALES HENRI POINCARE | 2007年 / 8卷 / 06期

关键词：

SCHRODINGER-OPERATORS; UNIQUENESS;

D O I：

10.1007/s00023-007-0330-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the perturbed harmonic oscillator T-D psi = -psi'' + x(2) psi + q(x)psi, psi(0) = 0, in L-2(R+), where q is an element of H+ = {q', xq is an element of L-2(R+)} is a real-valued potential. We prove that the mapping q -> spectral data characterization of the set of spectral data which corresponds to q is an element of H+ is given.

引用

页码：1115 / 1150

页数：36

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