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

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...

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Bibliographic Details
Published in:Annals of physics 2016-09, Vol.372, p.283-296
Main Authors: Salazar-Ramírez, M., Ojeda-Guillén, D., Mota, R.D.
Format: Article
Language:English
Subjects:
Algebraic methods
Coherent states
Cosmic string spacetime
Magnetic fields
Particle physics
Quantum physics
Schrödinger factorization
Spacetime
Tilting transformation
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Summary: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 Schrödinger factorization and the tilting transformation. Finally, we give the explicit form of the relativistic coherent states for this problem.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2016.05.011