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International Journal of Theoretical Physics

Supersymmetric Quantum Mechanics Approach to Unified Treatment of the Non-Relativistic Harmonic Oscillator and the Klein-Gordon Oscillator Subject to a Uniform Magnetic Field in the Framework of Snyder-de Sitter Algebra

Abdelkader Saidani, Farid Benamira

Published Sep 17, 2025• 1 citation
Publisher
DOI
10.1007/s10773-025-06117-z

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We study the effects of the perpendicular magnetic and Aharonov—Bohm (AB) flux fields on the energy levels of a two-dimensional (2D) Klein—Gordon (KG) particle subjected to an equal scalar and vector pseudo-harmonic oscillator (PHO). We calculate the exact energy eigenvalues and normalized wave functions in terms of chemical potential parameter, magnetic field strength, AB flux field, and magnetic quantum number by means of the Nikiforov—Uvarov (NU) method. The non-relativistic limit, PHO, and harmonic oscillator solutions in the existence and absence of external fields are also obtained.