Skip to main content
SpringerLink
Log in

A temperature-dependent upper bound on partial wave contributions to the second virial coefficient in the weak coupling limit

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

Abstract

A modified form of the Uhlenbeck-Beth representation for the second virial coefficient is used, together with the Fredholm theory of two-particle scattering, to obtain an upper bound on the partial wave contribution to the coefficient which holds if the intermolecular potential is sufficiently weak.

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. Landau, L.D., and Lifshitz, E.M., ‘Statistical Mechanics’, Pergamon Press, Chapter VII.

  2. Uhlenbeck and Beth, Physica 3, 729 (1936).

    Google Scholar 

  3. Gottfried, K., ‘Quantum Mechanics I’ Benjamin Inc., Chapter 14.

  4. Nussenzweig, Acta Physica Austriaca 38, 130 (1973).

    Google Scholar 

  5. Osborn and Tsang, Ann. Phys. (N.Y.) 101, 119 (1976).

    Google Scholar 

  6. Smithies, F.J., ‘Integral Equations’, Cambridge University Press.

  7. Such potentials have been studied in the mathematical theory of potential scattering. See, e.g., Jost and Pais, Phys. Rev. 82, 840 (1951).

    Google Scholar 

  8. De Alfaro, V., and Regge, T, ‘Potential Scattering’, North-Holland, Appendix D.

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Astrophysics, University of Delhi, 110007, Delhi, India

    S. N. Biswas & K. Datta

Authors
  1. S. N. Biswas
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. Datta
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Biswas, S.N., Datta, K. A temperature-dependent upper bound on partial wave contributions to the second virial coefficient in the weak coupling limit. Lett Math Phys 2, 435–444 (1978). https://doi.org/10.1007/BF00398495

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00398495

Keywords

Search

Navigation