Journal of Statistical Physics

, Volume 39, Issue 3–4, pp 427–441 | Cite as

Surface correlations in a quantum mechanical one-component plasma

  • B. Jancovici


The time-dependent pair correlation function of a quantum mechanical onecomponent plasma bounded by a plane hard wall is studied near that wall. Along the wall, this function has an algebraic asymptotic form: it decays only as the inverse cube (square) of the distance for a three (two)-dimensional system (the case of fermions at zero temperature is excluded from the present study). The amplitude of the asymptotic form obeys a universal sum rule. Similar results hold at the plane interface between two different one-component plasmas.

Key words

Coulomb systems quantum mechanical one-component plasma jellium surface properties correlations sum rule 


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  1. 1.
    Ch. Gruber, J. L. Lebowitz, and Ph. A. Martin,J. Chem. Phys. 75:944 (1981).Google Scholar
  2. 2.
    L. Blum, D. Henderson, J. L. Lebowitz, Ch. Gruber, and Ph. A. Martin,J. Chem. Phys. 75:5974 (1981).Google Scholar
  3. 3.
    B. Jancovici,J. Stat. Phys. 29:263 (1982).Google Scholar
  4. 4.
    B. Jancovici,J. Stat. Phys. 34:803 (1984).Google Scholar
  5. 5.
    S. L. Carnie and D. Y. C. Chan,Molec. Phys. 51:1047 (1984).Google Scholar
  6. 6.
    F. H. Stillinger and R. Lovett,J. Chem. Phys. 49:1991 (1968).Google Scholar
  7. 7.
    D. Pines and D. Bohm,Phys. Rev. 85:338 (1952).Google Scholar
  8. 8.
    D. Pines and Ph. Nozières,The Theory of Quantum Liquids (Benjamin, New York, 1966).Google Scholar
  9. 9.
    Ph. A. Martin and C. Oguey,J. Phys. A, to be published.Google Scholar
  10. 10.
    L. D. Landau and E. M. Lifshitz,Statistical Physics, Part 1 (Pergarnon, Oxford, 1980).Google Scholar
  11. 11.
    E. A. Stern and R. A. Ferrell,Phys. Rev. 120:130 (1960).Google Scholar
  12. 12.
    I. M. Gelfand and G. E. Shilov,Generalized Functions (Academic Press, New York, 1964).Google Scholar
  13. 13.
    D. C. Langreth and J. P. Perdew,Phys. Rev. B 15:2884 (1977).Google Scholar
  14. 14.
    J. Friedel,Philos. Mag. 43:153 (1952).Google Scholar
  15. 15.
    M. L. Rosinberg and L. Blum,J. Chem. Phys. 81:3700 (1984).Google Scholar
  16. 16.
    P. J. Forrester,J. Phys. A, to be published.Google Scholar
  17. 17.
    W. Kohn and K. H. Lau,Solid State Commun. 18:553 (1976).Google Scholar

Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • B. Jancovici
    • 1
  1. 1.Laboratoire de Physique Théorique et Hautes EnergiesUniversité de Paris-SudOrsayFrance

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