Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Integral functions of the Bose gas

  • 45 Accesses


The asymptotic behaviour of generalised Bose-Einstein integral functions at small values of the chemical potential is shown to depend crucially on the behaviour, close to zero, of the spectral measure induced on R + by the single particle Hamiltonian, at fixed inverse temperature.

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


  1. 1.

    Lewis, J.T., Pulè, J., and Van den Berg, M., to be published.

  2. 2.

    Robinson, J.E., Phys. Rev. 2nd Series 83 678 (1951).

  3. 3.

    Gunton, J.D. and Buckingham, M.J., Phys. Rev. 166, 152 (1968).

  4. 4.

    Feller, W., An Introduction to Probability Theory and its Applications, Volume II, John Wiley, New York, 1966, pp. 407–423.

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Lunn, M. Integral functions of the Bose gas. Lett Math Phys 7, 51–53 (1983). https://doi.org/10.1007/BF00398712

Download citation


  • Statistical Physic
  • Asymptotic Behaviour
  • Group Theory
  • Single Particle
  • Integral Function