Algebraic approach and coherent states for a relativistic quantum particle in cosmic string spacetime

摘要

We study a relativistic quantum particle in cosmic string spacetime in the presence of a magnetic field and a Coulomb-type scalar potential. It is shown that the radial part of this problem possesses the su(1, 1) symmetry. We obtain the energy spectrum and eigenfunctions of this problem by using two algebraic methods: the Schrodinger factorization and the tilting transformation. Finally, we give the explicit form of the relativistic coherent states for this problem. (C) 2016 Elsevier Inc. All rights reserved.