@article{MAKHILLJEAS2020152019467, title = {The DKP Oscillator in a k-Minkowski Space-Time}, journal = {Journal of Engineering and Applied Sciences}, volume = {15}, number = {20}, pages = {3509-3513}, year = {2020}, issn = {1816-949x}, doi = {jeasci.2020.3509.3513}, url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2020.3509.3513}, author = {Yassine and}, keywords = {DKP equation,k-Minkowski space-time,DKP oscillator,energy spectrum}, 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.} }