On the discrete spectrum of non-self-adjoint Schrodinger differential equation with an operator coefficient


Bayramoglu M., Tasci F. , Zeynalov D.

JOURNAL OF MATHEMATICAL PHYSICS, vol.45, no.5, pp.1820-1825, 2004 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 5
  • Publication Date: 2004
  • Doi Number: 10.1063/1.1695446
  • Title of Journal : JOURNAL OF MATHEMATICAL PHYSICS
  • Page Numbers: pp.1820-1825

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.