This article is cited in 11 papers

A $2+1$-dimensional fermion in the Coulomb and magnetic field backgrounds

V. R. Khalilov

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: In the problem of a two-dimensional hydrogen-like atom in a magnetic field background, we construct quasi-classical solutions and the energy spectrum of the Dirac equation in a strong Coulomb field and in a weak constant homogeneous magnetic field in $2+1$ dimensions. We find some “exact” solutions of the Dirac and Pauli equations describing the “spinless” fermions in strong Coulomb fields and in homogeneous magnetic fields in $2+1$ dimensions.

Received: 16.09.1998
Revised: 26.10.1998

DOI: 10.4213/tmf731

 English version: Theoretical and Mathematical Physics, 1999, 119:1, 481–492

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