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Journal of Physics Conference Series

Study of the dirac equation with hylleraas potential and Position-Dependent Mass (PDM) under the influence of the external magnetic field

Dwi Lestari, L. K. Permatahati, Suparmi Suparmi, C. Cari, Firda Nur Setyanto

Published Jan 1, 2025• 0 citations
Publisher

Abstract

Abstract We investigated the solutions of the Dirac equation with the position-dependent mass (PDM) and external magnetic field particles for the Hylleraas potential using the Nikiforov-Uvarov (NU) method. The relativistic energy eigenvalues and the wave function were obtained Analytically. We compute the energy spectra and the wave function using Mathlab software. The plots of the energy spectra were presented with respect to various values of the quantum number, magnetic field, PDM parameters, and potential parameters. The influence of those parameters on energy levels was analyzed. From the results, it is shown that relativistic energy decreases as the quantum number, potential parameter, and magnetic field increase. The results are in agreement with recent study.

DOI
10.1088/1742-6596/2945/1/012025

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