https://doi.org/10.1140/epjp/i2019-12381-0
Regular Article
Algebraic solution and coherent states for the Dirac oscillator interacting with a topological defect
Escuela Superior de Cómputo, Instituto Politécnico Nacional, Av. Juan de Dios Bátiz esq. Av. Miguel Othón de Mendizábal, Col. Lindavista, Delegación Gustavo A. Madero, C.P. 07738, Ciudad de México, Mexico
* e-mail: escomphysics@gmail.com
Received:
13
June
2018
Accepted:
5
November
2018
Published online:
8
January
2019
In this work we study and exactly solve the Dirac oscillator interacting with three different topological defects, namely the cosmic string spacetime (
), the magnetic cosmic string spacetime (
) and the cosmic dislocation spacetime (
). 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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019