Two-Dimensional Vector Boson Oscillator

Özet

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.