Eigensolutions of the two Dimensional Kemmer Oscillator in Noncommutative Space with Minimal Length Effects

Abstract

This paper investigates a two-dimensional Kemmer oscillator within relativistic quantum mechanics, incorporating minimal length and non-commutative phase space effects. We derive eigen solutions in configuration space $\{p\}$, examining the relationship between minimal length and non-commutative parameters. Our analysis reveals a connection to the Schr\"odinger equation through a P\"oschl-Teller potential, enhancing our understanding of fundamental quantum phenomena in relativistic systems.