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 su(1,1) symmetry. We obtain the energy spectrum and eigenfunctions of this problem by using two algebraic methods: the Schr\"odinger factorization and the tilting transformation. Finally, we give the explicit form of the relativistic coherent states for this problem.