Authors : Yassine Chargui and Bahri Cherif
Abstract: We study the dynamics of a Duffin-Kemmer-Petiau (DKP) oscillator, for a scalar boson in a (3+1)-dimensional k-Minkowski space-time. We use the Dirac derivatives approach to construct the k-DKP equation. We investigate the consequences of the k-deformation on the energy spectrum of the oscillator, and its eigenfunctions, for any value of the total angular momentum number using a perturbation method. In particular, we show that particle and antiparticle energies are asymmetric, a the charge conjugation symmetry for the k-DKP equation is broken by the deformation. Moreover, the equivalence between this system and the k-Klein-Gorden oscillator is discussed.
Yassine Chargui and Bahri Cherif, 2020. The DKP Oscillator in a k-Minkowski Space-Time. Journal of Engineering and Applied Sciences, 15: 3509-3513.