Faculty of Physics
M.V.Lomonosov Moscow State University
Regular Article

Dirac fermion in strong coulomb field in 2+1 dimensions

V.R. Khalilov

Moscow University Physics Bulletin 1999. 54. N 1. P. 32

  • Article

The effect of charged fermion pair production hy a strong external Coulomb field in two spatial dimensions is studied. Exact solutions to the Dirac equation have been found for a Coulomb field in 2+1 dimensions. It is shown that the behavior of the lower energy levels of an electron in a strong Coulomb field differs significantly in the cases of two and three spatial dimensions. An equation has been obtained for the critical charge and solved numerically for a simple model. The critical charge in 2+1 dimensions is much smaller than its value for the same model in 3+1 dimensions.

Rissian citation:
В.Р. Халилов.
Дираковский фермион в сильном кулоновском поле в 2+1 измерениях.
Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 1999. № 1. С. 27.
V.R. Khalilov
Department of Theoretical Physics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
Issue 1, 1999

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