Coherent States for the Two-Dimensional Dirac-Moshinsky Oscillator Coupled to an External Magnetic Field

D. Ojeda-Guillén; R. D. Mota; V. D. Granados

doi:10.1088/0253-6102/63/3/271

Coherent States for the Two-Dimensional Dirac-Moshinsky Oscillator Coupled to an External Magnetic Field

D. Ojeda-Guillén, R. D. Mota, V. D. Granados

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

6 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Número de artículo	271
Páginas (desde-hasta)	271-274
Número de páginas	4
Publicación	Communications in Theoretical Physics
Volumen	63
N.º	3
DOI	https://doi.org/10.1088/0253-6102/63/3/271
Estado	Publicada - 1 mar. 2015

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AB - 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.

KW - Dirac equation

KW - Dirac-Moshinsky oscillator

KW - Lie algebras

KW - coherent states

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Coherent States for the Two-Dimensional Dirac-Moshinsky Oscillator Coupled to an External Magnetic Field

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