Algebraic solution and coherent states for the Dirac oscillator interacting with a topological defect

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Abstract

© 2019, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature. In this work we study and exactly solve the Dirac oscillator interacting with three different topological defects, namely the cosmic string spacetime (Λ∓), the magnetic cosmic string spacetime (Θ∓) and the cosmic dislocation spacetime (Π∓). Moreover, we show that the radial part of this problem possesses an SU(1, 1) symmetry. Then, we obtain the wave functions and their respective energy spectrum by means of the Schrödinger factorization. Finally, we compute the radial coherent states and their time evolution in a general form for each topological defect.
Original languageAmerican English
JournalEuropean Physical Journal Plus
DOIs
StatePublished - 1 Jan 2019

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strings
oscillators
Defects
defects
Wave functions
Factorization
Germany
factorization
energy spectra
wave functions
symmetry

Cite this

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title = "Algebraic solution and coherent states for the Dirac oscillator interacting with a topological defect",
abstract = "{\circledC} 2019, Societ{\`a} Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature. In this work we study and exactly solve the Dirac oscillator interacting with three different topological defects, namely the cosmic string spacetime (Λ∓), the magnetic cosmic string spacetime (Θ∓) and the cosmic dislocation spacetime (Π∓). Moreover, we show that the radial part of this problem possesses an SU(1, 1) symmetry. Then, we obtain the wave functions and their respective energy spectrum by means of the Schr{\"o}dinger factorization. Finally, we compute the radial coherent states and their time evolution in a general form for each topological defect.",
author = "M. Salazar-Ram{\'i}rez and D. Ojeda-Guill{\'e}n and A. Morales-Gonz{\'a}lez and Garc{\'i}a-Ortega, {V. H.}",
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AU - Salazar-Ramírez, M.

AU - Ojeda-Guillén, D.

AU - Morales-González, A.

AU - García-Ortega, V. H.

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N2 - © 2019, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature. In this work we study and exactly solve the Dirac oscillator interacting with three different topological defects, namely the cosmic string spacetime (Λ∓), the magnetic cosmic string spacetime (Θ∓) and the cosmic dislocation spacetime (Π∓). Moreover, we show that the radial part of this problem possesses an SU(1, 1) symmetry. Then, we obtain the wave functions and their respective energy spectrum by means of the Schrödinger factorization. Finally, we compute the radial coherent states and their time evolution in a general form for each topological defect.

AB - © 2019, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature. In this work we study and exactly solve the Dirac oscillator interacting with three different topological defects, namely the cosmic string spacetime (Λ∓), the magnetic cosmic string spacetime (Θ∓) and the cosmic dislocation spacetime (Π∓). Moreover, we show that the radial part of this problem possesses an SU(1, 1) symmetry. Then, we obtain the wave functions and their respective energy spectrum by means of the Schrödinger factorization. Finally, we compute the radial coherent states and their time evolution in a general form for each topological defect.

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