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Perturbation Theory of a Relativistic Particle in Central Fields

  • Chapter
Relativistic Effects in Atoms, Molecules, and Solids

Part of the book series: NATO Advanced Science Institutes Series ((NSSB,volume 87))

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Abstract

We present summary results of a bound-state perturbation theory for a relativistic spinless (Klein-Gordon) and a relativistic spin-half (Dirac) particle in central fields due to scalar or fourth-component vector-type interactions for an arbitrary bound state. The reduction of the wave equations to Ricatti form enables a decoupling between the pair of coupled first order differential equations on the large and small component Dirac wave functions or a decoupling of the second order differential equation in the Klein-Gordon case. All corrections to the energies and wave functions, including corrections to the positions of the nodes in excited states, are expressed in quadratures in a hierarchical scheme, without the use of either the Green function or the sum over intermediate states.

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Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, University of South Carolina, Columbia, South Carolina, 29208, USA

    C. K. Au

  2. Physics Department, Michigan Technological University, Hougton, MI, 49931, USA

    Donald R. Beck

  3. Clarendon Laboratory, University of Oxford, Parks Road, Oxford, UK

    C. P. Botham, A-M. Martensson & P. G. H. Sanders

  4. Department of Chemistry, University of New Orleans, New Orleans, Louisiana, 70148, USA

    Edward A. Boudreaux

  5. Argonne National Laboratory, Argonne, Illinois, 60439, USA

    K. T. Cheng

  6. Department of Chemical Physics, Technical University of Denmark, DTH 301, DK-3800, Lyngby, Denmark

    Jens Peder Dahl

  7. Department of Chemistry BG-10, University of Washington, Seattle, Washington, 98195, USA

    Ernest R. Davidson

  8. Lehrstuhl für Theoretische Chemie, Universität zu Köln, Köln, West-Germany

    Hans-Joachim Freund

  9. Department of Chemistry, University of Oslo, P.O. Box 1033, Blindern, Oslo 3, Norway

    Hans H. Grelland

  10. Institut für Theoretische Physik der Universität, D-6000, Frankfurt, Federal Republik of Germany

    E. K. U. Gross & R. M. Dreizler

  11. Department of Chemistry, University of Alberta, Edmonton, Alberta, Canada

    M. Klobukowski & S. Huzinaga

  12. Department of Chemistry, University of Michigan, Ann Arbor, MI, 48109, USA

    Lawrence L. Lohr

  13. Department of Physics and Astronomy, Southern Illinois University, Carbondale, Illinois, 62901, USA

    F. Bary Malik & J. Tsekrisme Ndefru

  14. Max-Planck-Institut für Strahlenchemie, Stiftstr. 34-36, D-4330, Mülheim a.d. Ruhr, Germany

    Franz Mark

  15. Institute for Molecular Science, Myodaiji, Okazaki, 444, Japan

    Keiji Morokuma

  16. Theoretische Festkörperphysik, FB lo, Universität Duisburg GH, D-41oo, Duisburg, Germany

    Franz Rosicky

  17. Theoretical Chemistry, The University, D-5900, Siegen 21, Germany

    W. H. Eugen Schwarz

  18. Physics Department, University of Kassel, D-35oo, Kassel, Federal Republic of Germany

    W.-D. Sepp & B. Fricke

  19. H.H. Wills Physics Lab., University of Bristol, Bristol, UK

    Julie Staunton & B. L. Gyorffy

  20. Institut fü Technische Elektrochemie, Technische Wien, Austria

    P. Weinberger

  21. Institut fü Theoretische Physik, Universität Erlangen-Nürnberg, D-8520, Erlangen, West Germany

    Günter Wunner

Authors
  1. C. K. Au
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  2. Donald R. Beck
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  3. C. P. Botham
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  4. A-M. Martensson
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  5. P. G. H. Sanders
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  6. Edward A. Boudreaux
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  7. K. T. Cheng
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  8. Jens Peder Dahl
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  9. Ernest R. Davidson
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  10. Hans-Joachim Freund
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  11. Hans H. Grelland
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  12. E. K. U. Gross
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  13. R. M. Dreizler
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  14. M. Klobukowski
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  15. S. Huzinaga
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  16. Lawrence L. Lohr
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  17. F. Bary Malik
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  18. J. Tsekrisme Ndefru
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  19. Franz Mark
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  20. Keiji Morokuma
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  21. Franz Rosicky
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  22. W. H. Eugen Schwarz
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  23. W.-D. Sepp
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  24. B. Fricke
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  25. Julie Staunton
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  26. B. L. Gyorffy
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  27. P. Weinberger
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  28. Günter Wunner
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Editor information

Editors and Affiliations

  1. Department of Chemistry and Theoretical Sciences Institute, Simon Fraser University, Burnaby, British Columbia, Canada

    G. L. Malli

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© 1983 Plenum Press, New York

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Au, C.K. et al. (1983). Perturbation Theory of a Relativistic Particle in Central Fields. In: Malli, G.L. (eds) Relativistic Effects in Atoms, Molecules, and Solids. NATO Advanced Science Institutes Series, vol 87. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3596-2_20

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  • DOI: https://doi.org/10.1007/978-1-4613-3596-2_20

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3598-6

  • Online ISBN: 978-1-4613-3596-2

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