The Completeness of System of Eigenfunctions of 1D Dirac Operators

Yıl 2015, Cilt: 4 Sayı: 2, 35 - 43, 08.01.2016

Hüseyin Tuna Murat Çoruh

https://doi.org/10.17100/nevbiltek.211039

Öz

In this paper, nonself-adjoint 1D Dirac operators in Weyl’s limit-circle  case are studied. Using Krein’s theorems, we investigate the completeness of the system of eigenvectors and associated vectors for these operators. 

Anahtar Kelimeler

-

Bir Boyutlu Dirac Operatörlerinin Özfonksiyonlar Sisteminin Tamlığı

Öz

Bu çalışmada Weyl limit çember durumunda kendine eş olmayan bir boyutlu Dirac operatörleri çalışılmıştır. Krein teoremleri kullanılarak, bu operatörlerin öz ve asosye vektörler sisteminin tamlığı araştırıldı

Anahtar Kelimeler

Dissipatif Dirac Operatörleri, Öz ve asosye vektörler sisteminin tamlığı, Krein teoremi

Kaynakça

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