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
收藏
页码：1115 / 1150
页数：36
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