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arXiv · 1603.00914

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

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

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M. Salazar-Ramírez, D. Ojeda-Guillén, R. D. Mota. 2016-03-02. Algebraic approach and coherent states for a relativistic quantum particle in cosmic string spacetime. https://doi.org/10.1016/j.aop.2016.05.011

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