Isotropic quantum plasmas

Part of the Lecture Notes in Physics book series (LNP, volume 735)

The case of an isotropic plasma, and more specifically a thermal plasma, is of particular interest for dispersion in a plasma. Dispersion in a relativistic quantum plasma differs from dispersion in a nonquantum plasma due to four effects: the quantum recoil, dispersion associated with pair creation, degeneracy, and the effects of the spin of the particles. In this chapter the general theory for dispersion in a relativistic quantum electron gas, presented in §8.3, is applied to an isotropic electron gas, and to the specific case of a FermiDirac (thermal) distribution. Both the degenerate and nondegenerate limits for a Fermi-Dirac distribution are treated in detail. The results are used to discuss the properties of longitudinal and transverse waves in such plasmas. The electrons are assumed unpolarized; spin-dependent effects are discussed separately in §10.2.


Dispersion Curve Pair Creation Isotropic Plasma Degenerate Limit Plasma Dispersion Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    V.N. Tsystovich: Sov. Phys. JETP13,1249(1961)Google Scholar
  2. 2. D.J. Lindhard: Mat. Fys. Medd. Dan. vid. Selsk.28, Nr.8 (1954)Google Scholar
  3. 3.
    B. Jancovici: Il Nuovo Cim.25,428(1962)MATHCrossRefGoogle Scholar
  4. 4.
    L.M. Hayes, D.B. Melrose: Aust. J. Phys.37,615(1984)ADSGoogle Scholar
  5. 5.
    D.B. Melrose, J.I. Weise, J. McOrist: J. Phys. A: Math. Gen. 39, 8727 (2006)MATHCrossRefMathSciNetADSGoogle Scholar
  6. 6.
    V. Kowalenko, N.E. Frankel, K.C. Hines: Phys. Rep.126,109(1985)CrossRefADSGoogle Scholar
  7. 7.
    N.W. Ashcroft, N.D. Mermin: Solid State Physics,(Saunders College, Philadelphia 1976)Google Scholar
  8. 8.
    E.M. Lifshitz, L.P. Pitaevskii:§40, (Pergamon Press, Oxford 1981)Google Scholar
  9. 9.
    A.A. Rukhadze, V.P. Silin: Sov. Phys. JETP38,645(1960)Google Scholar
  10. 10.
    A.A. Vlasov: Sov. Phys. JETP8,391(1938)Google Scholar
  11. 11.
    V.S. Krivitskii, S.V. Vladimirov: Sov. Phys. JETP 73, 821 (1991) Google Scholar
  12. 12.
    G. Baudet, V. Petrosian, E.E. Salpeter: Astrophys. J. 150, 979 (1967) CrossRefADSGoogle Scholar
  13. 13.
    E. Braaten Phys. Rev. Lett., 66, 1655 (1991) CrossRefADSGoogle Scholar
  14. 14.
    N. Itoh, H. Mutoh, A. Hikita, Y. Kohyama: Astrophys. J. 395, 622 (1992) CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag New York 2008

Personalised recommendations