Comments on the KKR Wavefunctions; Extension of the Spherical Wave Expansion beyond the Muffin Tins

  • O. Krogh Andersen
Part of the The IBM Research Symposia Series book series (IRSS)


The solution of Schrödinger’s equation for an assembly of non-overlapping muffin-tin potentials may be constructed in terms of Linear Combinations of — suitably chosen — Muffin Tin Orbitals (LCMTO). For the special case of a perfect crystal this leads to the well-known KKR equations.1,2,3 We hope to demonstrate that this approach, which bears some resemblance to the original work of Korringa1, gives a better insight into the properties of the wavefunctions than does the more popular green’s-function formalism introduced by Kohn and Rostoker.2,3,4


Wave Equation Original Work Wave Expansion Perfect Crystal Schrodinger Equation 
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  1. 1.
    J. Korringa, Physica 13, 392 (1947).CrossRefGoogle Scholar
  2. 2.
    W. Kohn and N. Rostoker, Phys. Rev. 94, 1111 (1954).CrossRefGoogle Scholar
  3. 3.
    F. S. Ham and B. Segall, Phys. Rev. 124, 1786 (1961).CrossRefGoogle Scholar
  4. 4.
    A. R. Williams, this Proceedings. K. H. Johnson, this Proceedings.Google Scholar
  5. 5.
    O. K. Andersen, to be published.Google Scholar

Copyright information

© Plenum Press, New York 1971

Authors and Affiliations

  • O. Krogh Andersen
    • 1
  1. 1.Physics DepartmentUniversity of PennsylvaniaPhiladelphiaUSA

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