On the discrete spectrum of non-self-adjoint Schrodinger differential equation with an operator coefficient
JOURNAL OF MATHEMATICAL PHYSICS, vol.45, no.5, pp.1820-1825, 2004 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 45 Issue: 5
- Publication Date: 2004
- Doi Number: 10.1063/1.1695446
- Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1820-1825
- Yıldız Technical University Affiliated: No
Abstract
We study the discrete part of spectrum of a singular non-self-adjoint second-order differential equation on a semiaxis with an operator coefficient. Its boundedness is proved. The result is applied to the Schrodinger boundary value problem -Deltau+q(x)u=lambda(2)u, u\(partial derivativeD)=0, with a complex potential q(x) in an angular domain. (C) 2004 American Institute of Physics.