Two-Dimensional Vector Boson Oscillator


Doğan S. G.

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.25, no.5, pp.1210-1217, 2021 (Peer-Reviewed Journal) identifier

Abstract

We introduce two-dimensional vector boson oscillator by using the generalized vector bosonequation that derived as an excited of Zitterbewegung. We write the relativistic vector bosonequation for a relativistic spin-1 particle and introduce the oscillator coupling via non-minimalsubstitutions. The corresponding equation gives a set of equations. By solving this equation setwe obtain the components of the corresponding symmetric spinor and accordingly obtain theenergy eigen-values for two-dimensional vector boson oscillator. This energy spectrum showsthat the oscillator frequency couples with the spin of vector field in question and accordinglywe discuss the results.