(2 +1)-dimensional Duffin-Kemmer-Petiau oscillator under a magnetic field in the presence of a minimal length in the noncommutative space

TL;DR

This paper investigates the energy spectrum and wave functions of a spin 0 particle in a (2+1)-dimensional noncommutative space with a minimal length, magnetic field, and Duffin-Kemmer-Petiau oscillator using momentum space methods.

Contribution

It provides explicit energy eigenvalues and wave functions for this system, incorporating noncommutativity and minimal length effects, which are novel in this context.

Findings

Explicit energy eigenvalues derived

Wave functions expressed in Jacobi polynomials

Numerical results illustrating special cases

Abstract

Using the momentum space representation, we study the (2 +1)-dimensional Duffin-Kemmer-Petiau oscillator for spin 0 particle under a magnetic field in the presence of a minimal length in the noncommutative space. The explicit form of energy eigenvalues are found, the wave functions and the corresponding probability density are reported in terms of the Jacobi polynomials. Additionally, we also discuss the special cases and depict the corresponding numerical results.