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, cilt.45, sa.5, ss.1820-1825, 2004 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Konu: 5
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1063/1.1695446
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
  • Sayfa Sayıları: ss.1820-1825

Özet

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.