Skip to main content
SpringerLink
Log in

The generalized plasma in one dimension: Evaluation of a partition function

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

Forrester and Jancovici have given sum rules for a two-dimensional generalized plasma with two species of particles interacting through logarithmic potentials with three independent coupling constants. They have also found a specific one-dimensional solvable model which satisfies the analogs of their sum rules. A class of one-dimensional models for which the partition function is evaluable is given as well as a more general result evaluating multi-dimensional integrals.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Forrester, P.J., Jancovici, B.: Generalized plasmas and the anomalous quantum Hall effect. J. Physique Lett.45, L-583 (1984)

    Google Scholar 

  2. Halperin, B.I.: Theory of quantized Hall conductance. Helv. Phys. Acta56, 75 (1983)

    Google Scholar 

  3. Girvin, S.M.: Nat. Bur. Stand. (preprint)

  4. Bressoud, D.M., Goulden, I.P.: Trans. Am. Math. Soc.291, 203 (1985)

    Google Scholar 

  5. Dyson, F.J.: Statistical theory of the energy levels of complex systems. I. J. Math. Phys.3, 140 (1962)

    Google Scholar 

  6. Gunson, J.: Proof of a conjecture by Dyson in the statistical theory of energy levels. J. Math. Phys.3, 752 (1962)

    Google Scholar 

  7. Wilson, K.: Proof of a conjecture by Dyson. J. Math. Phys.3, 1040 (1962)

    Google Scholar 

  8. Good, I.J.: Short proof of a conjecture by Dyson. J. Math. Phys.11, 1884 (1970)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, The Pennsylvania State University, 16802, University Park, PA, USA

    D. M. Bressoud

  2. Department of Mathematics, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    I. P. Goulden

Authors
  1. D. M. Bressoud
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. P. Goulden
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by H. Araki

Partially supported by N.S.F. grant

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bressoud, D.M., Goulden, I.P. The generalized plasma in one dimension: Evaluation of a partition function. Commun.Math. Phys. 110, 287–291 (1987). https://doi.org/10.1007/BF01207368

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01207368

Keywords

Search

Navigation