(2+1)-Dimensional Duffin-Kemmer-Petiau Oscillator under a Magnetic Field in the Presence of a Minimal Length in the Noncommutative Space

Abstract

this article was funded by SCOAP 3 .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 is found, and 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.

Solution of the spin-one DKP oscillator under an external magnetic field in noncommutative space with minimal length

“…[34,35] Recently, it has been investigated by a large number of papers. [36][37][38][39][40] In addition, if we assume that there is a magnetic field B, which is along to z-axis direction, i.e. 𝐴 = − By 2 Bx 2 0 , the Hamiltonian in DKP oscillator system turns into H = c𝛽 • 𝑝 − e c 𝐴 − imw𝜂 0 r + mc 2 .…”