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

TL;DR

This paper explores the eigen solutions of a two-dimensional Kemmer oscillator in noncommutative space with minimal length effects, revealing connections to the Schrödinger equation and providing insights into relativistic quantum systems.

Contribution

It introduces a novel analysis of the Kemmer oscillator incorporating minimal length and non-commutative effects, deriving eigen solutions and linking to known quantum potentials.

Findings

Eigen solutions derived in noncommutative space with minimal length.

Connection established between Kemmer oscillator and Pöschl-Teller potential.

Enhanced understanding of relativistic quantum phenomena.

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.