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- Title
Semiclassical approximation of the Dirac equation in a central field.
- Authors
Zon, B.; Kornev, A.
- Abstract
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.
- Subjects
APPROXIMATION theory; DIRAC equation; QUANTUM defect theory; COULOMB potential; ASYMPTOTIC expansions; ENERGY levels (Quantum mechanics); RELATIVITY (Physics); CONDUCTION electrons
- Publication
Theoretical & Mathematical Physics, 2012, Vol 171, Issue 1, p478
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1007/s11232-012-0046-1