Asymptotics of Eigenvalues of Non-Self-Adjoint Schrodinger Operators on a Half-Line

被引：2

作者：

Shin, Kwang C. ^{[1
]}

机构：

[1] Univ W Georgia, Dept Math, Carrollton, GA USA

来源：

COMPUTATIONAL METHODS AND FUNCTION THEORY | 2010年 / 10卷 / 01期

关键词：

Non-self-adjoint Schrodinger operators; Robin boundary condition; asymptotics of eigenvalues; ANALYTIC CONTINUATION; REALITY;

D O I：

10.1007/BF03321758

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the eigenvalues of the non-self-adjoint problem -y '' + V (x)y = Ey on the half-line 0 <= x < + infinity under the Robin boundary condition at x = 0, where V is a monic polynomial of degree at least 3. We obtain a Bohr-Sommerfeld-like asymptotic formula for E-n that depends on the boundary conditions. Consequently, we solve certain inverse spectral problems, recovering the potential V and boundary condition from the first (m + 2) terms of the asymptotic formula.

引用

页码：111 / 133

页数：23

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