Uniform magnetic field on the relativistic spinless particles with constant rest mass in 2D polar space

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^(a) E-mail: sami.ortakaya@yahoo.com (corresponding author)

Received: 16 May 2023
Accepted: 17 July 2023

Abstract

We present a model for the interaction of relativistic spin-0 charged particles moving in a uniform magnetic field. In the absence of an improved perturbative approach, we solve Kummer's differential equation directly, including principal quantum numbers. As a functional approach to nuclear interaction, we consider relativistic particle bound states subject to a interaction without an antiparticle regime. Within the approximation line to , we have also improved the considerations of the and related to scalar and mass interactions. Moreover, we have found closeness in the introduced approximation scheme for a range of 0.5 to 1.0 fm. In this way, minimal coupling might also yield analytical energy spectra. Within the 2D spatial regime, we have also found that the energy levels of relativistic spin-0 particles increase with increasing interaction energy (i.e., the quantum well width decreases for given values). Additionally, energy levels increase with larger values of the uniform magnetic field. The charge distribution is also valid for the central interaction-confinement space.