Il Nuovo Cimento (1955-1965)

, Volume 26, Issue 1, pp 43–52 | Cite as

Absorption of phonons by an electron gas

  • S. Rodriguez
  • K. Tharmalingam


A study is made of the absorption of acoustic waves in metals considering the interaction of the motion of the ions of the crystal with the plasma formed by the conduction electrons. The attenuation of the sound waves is expressed in terms of the imaginary part of the dielectric constant for longitudinal waves and of the imaginary part of of the magnetic permeability for transverse waves. Expressions for both situations are found. They agree with the results obtained byPippard.


Si studia l’assorbimento delle onde sonore nei metalli tenendo conto dell’interazione del moto degli ioni del oristallo col plasma formato dagli elettroni di conduzione. L’attenuazione delle onde sonore è espressa per le onde longitudinal! in funzione della parte immaginaria della costante dielettrica e per le onde trasversali in funzione della parte immaginaria della permeabilità magnetica. Si trovano le espressioni per entrambi i casi. Ease concordano con i risultati ottenuti daPippard.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. (1).
    H. E. Bömmell:Phys. Rev.,96, 220 (1954).ADSCrossRefGoogle Scholar
  2. (2).
    L. MacKinnon:Phys. Rev.,98, 1181 (1955);98, 1210 (1955);100, 655 (1955).Google Scholar
  3. (3).
    R. W. Morse:Phys. Rev.,97, 1716 (1955);C. Kittel:Acta Met.,3, 295 (1955). See alsoW. P. Mason:Phys. Rev.,97, 557 (1955).ADSCrossRefGoogle Scholar
  4. (5).
    A. B. Pippard:Phil. Mag.,46, 1104 (1955);T. Holstein:Phys. Rev.,113, 479 (1959);E. I. Blount:Phys. Rev.,114, 418 (1959);N. Takimoto:Prog. Theor. Phys.,25, 327 (1961) (see also ref. (3)).CrossRefGoogle Scholar
  5. (6).
    M. H. Cohen, M. J. Harrison andW. A. Harbison:Phys. Rev.,117, 937 1960).ADSCrossRefMATHGoogle Scholar
  6. (7).
    J. Lindhakd:Kgl. Dan. Viden. Mat-Fys. Medd.,28, no. 8 (1954).Google Scholar
  7. (8).
    O. Klein:Ark. J. Mat., Ast. och Fys., A 31, no. 12 (1944); see alsoM. R. Schafroth:Helv. Phys. Acta,24, 645 (1951).Google Scholar
  8. (9).
    See for exampleC. Kittel:Elementary Statistical Physics (New York, 1958), pp. 107–110.Google Scholar
  9. (10).
    D. Bohm andT. Staver:Phys. Rev.,84, 836 (1952). See alsoD. Pines: inSolid State Physics, edited byF. Seitz andD. Turnbull (New York, 1955), vol.I, pp. 441–445;J. J. Quinn: inThe Fermi Surface, edited byW. A. Harbison andM. B. Webb (New York, 1960), pp. 58–66.ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica 1962

Authors and Affiliations

  • S. Rodriguez
    • 1
  • K. Tharmalingam
    • 1
  1. 1.Princeton UniversityPrinceton

Personalised recommendations