Abstract
We study the deformed two-dimensional relativistic Bosonic oscillator equation for charged spin 0 and spin 1 particles moving in a uniform magnetic field with the Snyder-de Sitter model. For the scalar case, we compute the energy eigenvalues and eigenfunctions for both Klein Gordon and Duffin–Kemmer–Petiau (DKP) cases for an arbitrary magnetic field intensity. We also deduce the behavior of the DKP equation and compute the non-relativistic energies for the case of spin 1 particle. Finally, we study the thermodynamic properties of the system.
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