Zeitschrift für Physik

, Volume 268, Issue 2, pp 197–205 | Cite as

Lifetimes of long wavelength longitudinal phonons in impure metals

  • Günter Grünewald
  • Kurt Scharnberg
A General Definition for the Change of Coherence
Received:

Abstract

The standard Green function theory of electron-phonon interaction in metals is extended to include the effect of impurities moving with the lattice. The importance of various diagrams in the perturbation expansion of the phonon Green function is discussed in the light of the accepted theories of ultrasonic absorption in impure metals. The screened impurity potential is treated as arbitrary function of the scattering angle.

Keywords

Elementary Particle Green Function Arbitrary Function Function Theory Perturbation Expansion 
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References

  1. 1.
    Pippard, A.B.: Phil. Mag.46, 1104 (1955)Google Scholar
  2. 2.
    Kittel, C.: Quantum Theory of Solid, pp. 326–332. New York: Wiley-Interscience, Inc. 1963Google Scholar
  3. 3.
    Kadanoff, L.P., Falko, I.I.: Phys. Rev.136A, 1170 (1964)Google Scholar
  4. 4.
    Osaka, Y.: J. Phys. Soc. Japan18, 877 (1963)Google Scholar
  5. 5.
    Eisenriegler, E.: Z. Physik258, 158 (1973)Google Scholar
  6. 6.
    Schultz, T.D.: Quantum Field Theory and the Many Body Problem. New York: Gordon and Breach 1964Google Scholar
  7. 7.
    Abrikosov, A.A., Gorkov, L.P., Dzyaloshinski, I.E.: Methods of Quantum Field Theory in Statistical Physics. Englewood Cliffs, New Jersey: Prentice-Hall 1963Google Scholar
  8. 8.
    Schmid, A.: Z. Physik259, 421–436 (1973)Google Scholar
  9. 9.
    Bhatia, A.B., Moore, R.A.: Phys. Rev.121, 1075 (1961)Google Scholar
  10. 10.
    Klemens, P.G.: Proc. Phys. Soc. (London) A68, 1113 (1955)Google Scholar
  11. 11.
    Kesharwani, K.M., Agrawal, B.K.: Phys. Rev. B6, 2178 (1972)Google Scholar
  12. 11a.
    Bruno, R.: Phys. stat. sol (b)55, 87 (1973)Google Scholar
  13. 12.
    Clark, C.B.: Phys. Rev.109, 1133 (1958)Google Scholar
  14. 13.
    Bardeen, S.: Phys. Rev.52, 688 (1937)Google Scholar
  15. 14.
    Pines, D.: Elementary Excitations in Solids. New York: W.A. Benjamin 1963Google Scholar
  16. 15.
    Carsey, F., Kagiwada, R., Levy, M., Maki, K.: Phys. Rev. B4, 854 (1971)Google Scholar
  17. 16.
    Böhm, D., Staver, T.: Phys. Rev.84, 836 (1952)Google Scholar
  18. 17.
    Migdal, A.B.: Sov. Phys. JETP7, 996 (1958)Google Scholar
  19. 18.
    Peverley, J.R.: Phys. Rev. Letters31, 886 (1973)Google Scholar
  20. 19.
    Ambegaokar, V.: Astrophysics and the Many Body Problem, Vol. 2. New York, Amsterdam: W.A. Benjamin, Inc. 1963Google Scholar
  21. 20.
    Bateman Manuscript Project, A. Erdélyi, Editor: Tables of Integral Transforms, Vol.II, p. 278. New York: McGraw Hill 1954Google Scholar

Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • Günter Grünewald
    • 1
  • Kurt Scharnberg
    • 1
  1. 1.Abteilung für Theoretische FestkörperphysikUniversität HamburgGermany

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