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

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.

preprint2014arXivOpen access
D. Ojeda-GuillénR. D. MotaV. D. Granados
math-phmath.MPhep-th
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D. Ojeda-GuillénR. D. MotaV. D. Granados

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