Dırac Equatıons In Curvılınear Coordınates In (2+1) Dımensıons


Thesis Type: Postgraduate

Institution Of The Thesis: Gazi Üniversitesi, Fen Bilimleri Enstitüsü, Turkey

Approval Date: 2018

Student: ALİ YILMAZ

Supervisor: ÖZLEM YEŞİLTAŞ

Abstract:

In this thesis, Dirac equation for different potential models in 2 space, 1-time dimension was studied. Physical applications of the low-dimensions Dirac equation are common. Graphene is a good example of this. Graphene is a two-dimensional layer of graffiti and draws interest in the fact that it is expected to be a suitable material for the development of electronic devices. Since Dirac electrons cannot be confined on the graphene due to the Klein paradox, it is suggested that the magnetic limitation be considered. With these studies, it has been concluded that massless charge carriers can be imprisoned with suitable electrical and magnetic barriers. However, different electrical and magnetic field configurations cause different results. In the presence of both electric and magnetic fields, analytical solutions of Dirac equations were obtained.