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

Abstract

In this work we study and exactly solve the Dirac oscillator with three different topological defects, namely the cosmic string spacetime (${\Lambda }_{\mp }$), the magnetic cosmic string spacetime (${\Theta }_{\mp }$) and the cosmic dislocation spacetime (${\Pi }_{\mp }$). Moreover, we show that the radial part of this problem possess an $SU(1,1)$ symmetry. From this, we obtain the wave functions and their respective energy spectrum by means of the Schrödinger factorization. Also, we compute the radial coherent states of the eigenfunctions of each problem and their time evolution.

arXiv comment13 pages

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• Topological and rotating effects on the Dirac field in the spiral dislocation spacetime
• Fermionic fields in a four-dimensional Bonnor-Melvin-Lambda space-time
• Non-commutativity and non-inertial effects on the Dirac oscillator in a cosmic string space-time
• Effects of rotation in the spacetime with a distortion of a vertical line into a vertical spiral
• Comment on "Neutrino interaction with matter in a noninertial frame"
• Algebraic solution and coherent states for the Dirac oscillator interacting with the Aharonov-Casher system in the cosmic string background
• Comment on "Galvano-rotational effect induced by electroweak interactions in pulsars"