Zeitschrift für Physik B Condensed Matter

, Volume 102, Issue 3, pp 381–383

A new many-body solution of the Friedel resonance problem



It is numerically shown that the groundstate of the Friedel problem (consisting of a conduction band and a dresonance), occupied with (n+ 1) electrons, can be written as Ψ = (Aa0*+Bd*) Πv=1nav*Φ0, where a0* represents a localized conduction electron state, d* is the Friedel resonance state and Πv=1nav8Φ0 is a Slater determinant of n single electron states at*, (Φ0 is the vacuum state). The ai* together with a0* are part of a full ortho-normalized basis of the conductions band.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Friedel J., Philos.Mag. 43, 153 (1952); Adv.Phys. 3, 446 (1954); Philos.Mag.[Suppl.] 7, 446 (1954); Can.J.Phys. 34, 1190 (1956); Nuovo Cimento [Suppl.] 7, 287 (1958); J.Phys.Radium 19, 38 (1958)Google Scholar
  2. 2.
    Wilson K.G., Rev.Mod.Phys. 47, 773 (1975)Google Scholar
  3. 3.
    Anderson P. W., Phys. Rev. 124, 41 (1961)Google Scholar

Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of Southern CaliforniaLos AngelesUSA

Personalised recommendations