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 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 Schrödinger factorization and the tilting transformation. Finally, we give the explicit form of the relativistic coherent states for this problem.

arXiv comment21 pages

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Cited by in corpus (10)

• Relativistic Landau Levels in the Rotating Cosmic String Spacetime
• $SU(1,1)$ solution for the Dunkl oscillator in two dimensions and its coherent states
• $SU(1,1)$ solution for the Dunkl-Coulomb problem in two dimensions and its coherent states
• Aharonov-Bohm effect for bound states in the cosmic string spacetime in the context of rainbow gravity
• Topological and rotating effects on the Dirac field in the spiral dislocation spacetime
• Algebraic solution and coherent states for the Dirac oscillator interacting with a topological defect
• Effects of rotation in the spacetime with a distortion of a vertical line into a vertical spiral
• Algebraic solution and coherent states for the Dirac oscillator interacting with the Aharonov-Casher system in the cosmic string background
• An anisotropic rotating cosmic string with Lorentz violation: thermodynamics and Landau levels
• Coherent states in a magnetic field and their generalizations