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

M. Salazar-Ramírez; D. Ojeda-Guillén; R. D. Mota

doi:10.1016/j.aop.2016.05.011

paper

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

arXiv:1603.00914 · doi:10.1016/j.aop.2016.05.011

Abstract

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

21 pages