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

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Abstract

© 2015 Chinese Physical Society and IOP Publishing Ltd. 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.
Original languageAmerican English
Pages (from-to)271-274
Number of pages243
JournalCommunications in Theoretical Physics
DOIs
StatePublished - 1 Mar 2015

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Magnetic Fields
oscillators
group theory
magnetic fields
eigenvectors
energy spectra

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abstract = "{\circledC} 2015 Chinese Physical Society and IOP Publishing Ltd. 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.",
author = "D. Ojeda-Guill{\'e}n and Mota, {R. D.} and Granados, {V. D.}",
year = "2015",
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AU - Granados, V. D.

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N2 - © 2015 Chinese Physical Society and IOP Publishing Ltd. 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.

AB - © 2015 Chinese Physical Society and IOP Publishing Ltd. 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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