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SU(1,1) solutions for the relativistic quantum particle in cosmic string spacetime

Quantum Physics 2015-10-06 v1 Mathematical Physics math.MP
Authors: Ozlem Yesiltas
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Abstract

We have studied a relativistic electron in the presence of a uniform magnetic field and scalar potential in the cosmic string spacetime. The exact solutions of the Dirac equation with a Coulomb-like scalar potential and linear vector potential through the gravitational fields are found using SU(1,1) Lie algebras.

Keywords

SU(1,1) Lie algebra Dirac equation cosmic string spacetime relativistic quantum particle Coulomb-like scalar potential linear vector potential exact solutions

Cite

@article{arxiv.1510.01275,
  title  = {SU(1,1) solutions for the relativistic quantum particle in cosmic string spacetime},
  author = {Ozlem Yesiltas},
  journal= {arXiv preprint arXiv:1510.01275},
  year   = {2015}
}

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