Geodesic
Quantum-mechanical two-center problem for the Dirac equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 2, pp. 211-222

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The Dirac equation for the potential of two Coulomb centers is considered. The region of distances fairly far from the centers is investigated. A method is proposed for constructing and investigating numerically the solutions of the Dirac equation with this potential. With a view to finding solutions in the region near the charges, the Dirichlet problem is formulated for a system of partial differential equations. The results are given of the numerical calculation of the lower electron level for some values of the charges and the distances between them. 
@article{TMF_1976_28_2_a6,
     author = {V. A. Lyul'ka},
     title = {Quantum-mechanical two-center problem for the {Dirac} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {211--222},
     publisher = {mathdoc},
     volume = {28},
     number = {2},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_28_2_a6/}
}
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V. A. Lyul'ka. Quantum-mechanical two-center problem for the Dirac equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 2, pp. 211-222. http://geodesic.mathdoc.fr/item/TMF_1976_28_2_a6/