Dynamics of a Spin-1 Particle in a Two-Dimensional Kemmer Oscillator Framework within Non-Commutative Phase Sspace

This paper delves into the dynamics of a two-dimensional Kemmer oscillator (KO) within a non-commutative phase space, as examined within the framework of relativistic quantum mechanics. Our investigation encompasses the derivation of the eigenstates of the system, and a thorough examination is conducted to understand the impact of non-commutative parameters on these solutions. The exploration sheds light on the intriguing interplay between relativistic quantum effects and non-commutative geometry in the context of the Kemmer oscillator.