Algebraic approach and coherent states for a relativistic quantum particle in cosmic string spacetime
Abstract
We study a relativistic quantum particle in cosmic string spacetime in the presence of a magnetic field and a Coulombtype 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 Schrödinger factorization and the tilting transformation. Finally, we give the explicit form of the relativistic coherent states for this problem.
 Publication:

Annals of Physics
 Pub Date:
 September 2016
 DOI:
 10.1016/j.aop.2016.05.011
 arXiv:
 arXiv:1603.00914
 Bibcode:
 2016AnPhy.372..283S
 Keywords:

 Algebraic methods;
 Coherent states;
 Cosmic string spacetime;
 Schrödinger factorization;
 Tilting transformation;
 Quantum Physics
 EPrint:
 21 pages