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

Bayramoglu, M; Tasci, Fatih; Zeynalov, D

doi:10.1063/1.1695446

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-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 45 Sayı: 5
Basım Tarihi: 2004
Doi Numarası: 10.1063/1.1695446
Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1820-1825
Yıldız Teknik Üniversitesi Adresli: Hayır

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.