The Klein Paradox

  • Walter Greiner
  • Berndt Müller
  • Johann Rafelski
Part of the Texts and Monographs in Physics book series (TMP)

Abstract

The Klein paradox is connected with (but not identical to) the phenomena of vacuum change in supercritical fields. Since the latter are one of the major objectives of this book, we shall discuss the Klein paradox extensively. It is named after O. Klein, who in 1929 studied the scattering of electrons from a potential barrier of height V 0 [K129]. We first study this paradox purely from the singleparticle stand point to interpret the Dirac equation, i.e. without use of hole theory, as Klein did. Later we introduce the hole-theory interpretation, as was originally done by Hund [Hu 54].

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References

  1. Kl 29.
    O. Klein: Z. Phys. 53, 157 (1929); see also ibid 41 407 (1927)Google Scholar
  2. Sa 31.
    F. Sauter: Z. Phys. 69 742 (1931); ibid 73, 547 (1931)Google Scholar
  3. Hu 54.
    F. Hund: Materie als Feld (Springer, Berlin,Heidelberg, New York 1954)Google Scholar
  4. Gr 81a.
    T. A. Green: Phys. Rev. A23, 519, 532 (1981)ADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Walter Greiner
    • 1
  • Berndt Müller
    • 1
  • Johann Rafelski
    • 2
  1. 1.Institut für Theoretische PhysikJohann-Wolfgang-Goethe UniversitätFrankfurt/MainFed. Rep. of Germany
  2. 2.Institute of Theoretical Physics and AstrophysicsUniversity of Cape TownRondeboschSouth Africa

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