Connectedness of the isospectral manifold for one-dimensional half-line Schrodinger operators

被引：5

作者：

Gesztesy, F ^{[1
]}

Simon, B

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

[2] CALTECH, Pasadena, CA 91125 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 2004年 / 116卷 / 1-4期

基金：

美国国家科学基金会;

关键词：

isospectral sets of potentials; half-line Schrodinger operators; inverse problems;

D O I：

10.1023/B:JOSS.0000037217.89500.b3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Let V-0\ be a real-valued function on [0,infinity) and V is an element of L-1([0, R]) for all R > 0 so that H(V-0)=- d(2)/ dx(2)+ V-0 in L-2([0,infinity)) with u(0) = 0 boundary conditions has discrete spectrum bounded from below. Let M(V-0) be the set of V so that H( V) and H(V-0) have the same spectrum. We prove that M(V-0) is connected.

引用

页码：361 / 365

页数：5

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