2D Relativistic Oscillators with a Uniform Magnetic Field in Anti-deSitter Space
Quantum Physics
2021-07-07 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2102.11718,
title = {2D Relativistic Oscillators with a Uniform Magnetic Field in Anti-deSitter Space},
author = {Lakhdar Sek and Mokhtar Falek and Mustafa Moumni},
journal= {arXiv preprint arXiv:2102.11718},
year = {2021}
}
Comments
19 pages, 4 figures