Geodesic
A $2+1$-dimensional fermion in the Coulomb and magnetic field backgrounds
Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 1, pp. 105-118

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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. 
@article{TMF_1999_119_1_a8,
     author = {V. R. Khalilov},
     title = {A $2+1$-dimensional fermion in the {Coulomb} and magnetic field backgrounds},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {105--118},
     publisher = {mathdoc},
     volume = {119},
     number = {1},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_119_1_a8/}
}
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V. R. Khalilov. A $2+1$-dimensional fermion in the Coulomb and magnetic field backgrounds. Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 1, pp. 105-118. http://geodesic.mathdoc.fr/item/TMF_1999_119_1_a8/