(2+1)-dimensional DKP oscillator in an external magnetic field

Esdras S. Santos, Ignacio S. Gomez, Olavo Abla

Published 2020-05-04Version 1

In this work we investigate the (2+1)-dimensional DKP oscillator in an external magnetic field. By choosing conveniently the six components of the DKP field we obtain several cases in an unified way, including the previously reported simplified DKP oscillator (SDKPO) as well as the non-occurrence of the Zitterbewegung frequency in the two-dimensional DKP oscillator. The main novelty we found is the splitting in the frequency of the DKP oscillator according to the spin projection that arises as an interplay between the oscillator, the external field and the vectorial sector. Thereby, our study manifests the versatility of the non trivial representations in order to characterize properties of the spin (scalar and vectorial) sectors in DKP oscillators.