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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 171, Number 1, Pages 65–78
DOI: https://doi.org/10.4213/tmf6919 (Mi tmf6919) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Semiclassical approximation of the Dirac equation in a central field

B. A. Zon, A. S. Kornev

Voronezh State University, Voronezh, Russia
Full-text PDF (457 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6919
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.
Keywords: Dirac equation, semiclassical approximation, quantum defect method.
Received: 30.05.2011
Revised: 28.07.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 171, Issue 1, Pages 478–489
DOI: https://doi.org/10.1007/s11232-012-0046-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: B. A. Zon, A. S. Kornev, “Semiclassical approximation of the Dirac equation in a central field”, TMF, 171:1 (2012), 65–78; Theoret. and Math. Phys., 171:1 (2012), 478–489
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf6919
  • https://doi.org/10.4213/tmf6919
  • https://www.mathnet.ru/eng/tmf/v171/i1/p65
    • This publication is cited in the following 3 articles:
    1. P. Grashin, K. Sveshnikov, “Vacuum polarization energy decline and spontaneous positron emission in QED under Coulomb supercriticality”, Phys. Rev. D, 106:1 (2022)  crossref
    2. Kornev A.S., Tulenko E.B., Zon B.A., “Relativistic Effects in the Many-Body Theory of Extreme Multiplicity Ion Formation in Superstrong Laser Fields”, Laser Phys. Lett., 10:8 (2013), 085301  crossref  adsnasa  isi  elib
    3. Kornev A.S., Zon B.A., “Anti-Stokes-enhanced tunneling ionization of molecules”, Phys. Rev. A, 86:4 (2012), 043401, 9 pp.  crossref  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :431
    References:86
    First page:42
     
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