A new oscillator model with different form of the non-minimal substitution within the framework of the Duffin-Kemmer-Petiau equation is offered. The model possesses exact solutions and a discrete spectrum of high degeneracy. The distinctive property of the proposed model is the lack of the spin-orbit interaction, being typical for other relativistic models with the non-minimal substitution, and the different value of the zero-point energy in comparison with that for the Duffin-Kemmer-Petiau oscillator described in the literature.
@article{arxiv.hep-th/0510152,
title = {An alternative model for the Duffin-Kemmer-Petiau oscillator},
author = {D. A. Kulikov and R. S. Tutik and A. P. Yaroshenko},
journal= {arXiv preprint arXiv:hep-th/0510152},
year = {2009}
}