2D Relativistic Oscillators with a Uniform Magnetic Field in Anti-deSitter Space

• URL: http://arxiv.org/abs/2102.11718v1
• Date: Tue, 23 Feb 2021 14:33:03 GMT
• Title: 2D Relativistic Oscillators with a Uniform Magnetic Field in Anti-deSitter Space
• Authors: Lakhdar Sek, Mokhtar Falek and Mustafa Moumni
• Abstract summary: We study the two dimensional deformed bosonic oscillator equations for charged particles (both spin 0 and spin 1 particles) We consider the presence of a minimal uncertainty in momentum caused by the Anti-deSitter model. The exact energy eigenvalues and the corresponding wave functions are analytically obtained for both Klein-Gordon and scalar Duffin-Kemmer-Petiau cases.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study analytically the two dimensional deformed bosonic oscillator equations for charged particles (both spin 0 and spin 1 particles) subject to the effect of a uniform magnetic field. We consider the presence of a minimal uncertainty in momentum caused by the Anti-deSitter model and we use the Nikiforov-Uvarov method to solve the system. The exact energy eigenvalues and the corresponding wave functions are analytically obtained for both Klein-Gordon and scalar Duffin-Kemmer-Petiau cases. For spin 1 DKP case, we deduce the behaviour of the DKP equation and write the non-relativistic energies where we show the fundamental role of the spin in this case. Finally, we study the thermodynamic properties of the system.

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