• Corpus ID: 59516464

Fermion Pair Production in Planar Coulomb and Aharonov-Bohm Potentials

@article{Khalilov2007FermionPP,
  title={Fermion Pair Production in Planar Coulomb and Aharonov-Bohm Potentials},
  author={V. R. Khalilov and Choon-Lin Ho},
  journal={arXiv: High Energy Physics - Theory},
  year={2007}
}
Exact analytic solutions are found for the Dirac equation in 2+1 dimensions for a spinone-half particle in a combination of the Lorentz 3-vector and scalar Coulomb as well as Aharonov-Bohm potentials. We employ the two-component Dirac equation which contains a new parameter introduced by Hagen to describe the spin of the spin-1/2 particle. We derive transcendental equations that implicitly determine the energy spectrum of an electron near the negative-energy continuum boundary and the critical… 

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