The Two-Centre Dirac Equation

  • Walter Greiner


The description of one or more electrons in the field of two nuclei is one of the fundamental problems in quantum mechanics. Among other things it contains the theoretical understanding of the phenomenon of chemical binding and thus it connects physics and chemistry. In 1927 W. Heitler and F. London1 showed for the first time the possibility of the existence of the H2 molecule. They used an approximation procedure and were able to calculate its physical properties (binding energy, binding length).


Dirac Equation Orbital Angular Momentum Radial Wave Function Correlation Diagram Double Logarithmic Scale 
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  1. 1.
    W. Heitler, F. London: Z. Phys. 44, 455 (1927).ADSCrossRefGoogle Scholar
  2. 2.
    E. Teller: Z. Phys. 61, 458 (1930).ADSCrossRefGoogle Scholar
  3. 3.
    F.A. Hylleraas: Z. Phys. 71, 739 (1931).ADSMATHCrossRefGoogle Scholar
  4. 4.
    G. Jaffé: Z. Phys. 87, 535 (1934).ADSMATHCrossRefGoogle Scholar
  5. 5.
    K. Helfrich, H. Hartmann: Theor. Chim. Acta 10, 406 (1968).CrossRefGoogle Scholar
  6. 6.
    F. Larkins: J. Phys. B5, 571 (1972).ADSGoogle Scholar
  7. 7.
    S.K. Luke et al.: J. Chem. Phys. 50, 1644 (1969)ADSCrossRefGoogle Scholar
  8. 9.
    B. Müller, W. Greiner: Phys. Lett. 47B, 5 (1973); Z. Naturf. 31a, 1 (1976).ADSGoogle Scholar
  9. 10.
    B. Fricke, K. Rashid, P. Bertoncini, A.C. Wahl: Phys. Rev. Lett. 34, 243 (1975).ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Walter Greiner
    • 1
  1. 1.Institut für Theoretische PhysikJohann Wolfgang Goethe-Universität FrankfurtFrankfurt am MainGermany

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