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

摘要

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 Schrodinger factorization. Finally, we compute the radial coherent states and their time evolution in a general form for each topological defect.