Coherent states for the two-dimensional Dirac-Moshinsky oscillator coupled to an external magnetic field

Abstract

We show that the $(2+1)$-dimensional Dirac-Moshinsky oscillator coupled to an external magnetic field can be treated algebraically with the $SU(1,1)$ group theory and its group basis. We use the $su(1,1)$ irreducible representation theory to find the energy spectrum and the eigenfunctions. Also, with the $su(1,1)$ group basis we construct the relativistic coherent states in a closed form for this problem.

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• On the Dirac oscillator in a spinning cosmic string spacetime in external magnetic fields: Investigation of energy spectrum and connection with the condensed matter physics
• Algebraic approach for the one-dimensional Dirac-Dunkl oscillator
• Algebraic approach and coherent states for a relativistic quantum particle in cosmic string spacetime
• Fermionic fields in a four-dimensional Bonnor-Melvin-Lambda space-time
• Two-mode generalization of the Jaynes-Cummings and Anti-Jaynes-Cummings models