The Completeness of System of Eigenfunctions of 1D Dirac Operators

Year 2015, Volume: 4 Issue: 2, 35 - 43, 08.01.2016

Hüseyin Tuna , Murat Çoruh

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

Abstract

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. 

Keywords

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Bir Boyutlu Dirac Operatörlerinin Özfonksiyonlar Sisteminin Tamlığı

Abstract

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

Keywords

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

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