Geodesic
Semiclassical approximation of the~Dirac equation in a~central field
Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 1, pp. 65-78

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We develop a semiclassical approximation of the Dirac equation in a central field with a Coulomb asymptotic behavior. We obtain relativistic semiclassical scattering phases, energy levels of hydrogen-like ions, and a semiclassical expression for the multiplicative constant in the asymptotic expansion of the wave function of the valence electron in a relativistic multiply charged ion, which plays an important role in quantum defect theory.
Mots-clés : Dirac equation
Keywords: semiclassical approximation, quantum defect method. 
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     author = {B. A. Zon and A. S. Kornev},
     title = {Semiclassical approximation of {the~Dirac} equation in a~central field},
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B. A. Zon; A. S. Kornev. Semiclassical approximation of the~Dirac equation in a~central field. Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 1, pp. 65-78. http://geodesic.mathdoc.fr/item/TMF_2012_171_1_a5/