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Journal of Statistical Physics

, Volume 82, Issue 5–6, pp 1659–1668 | Cite as

Haldane exclusion statistics and the Boltzmann equation

  • R. K. Bhaduri
  • R. S. Bhalerao
  • M. V. N. Murthy
Short Communications

Abstract

We generalize the collision term in the one-dimensional Boltzmann-Nordheim transport equation for quasiparticles that obey the Haldane exclusion statistics. For the equilibrium situation, this leads to the “golden rule” factor for quantum transitions. As an application of this, we calculate the density response function of a one-dimensional electron gas in a periodic potential, assuming that the particle-hole excitations are quasiparticles obeying the new statistics. We also calculate the relaxation time of a nuclear spin in a metal using the modified golden rule.

Key Words

Haldane exclusion statistics Boltzmann equation Fermigolden rule density response function 

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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • R. K. Bhaduri
    • 1
  • R. S. Bhalerao
    • 2
  • M. V. N. Murthy
    • 3
  1. 1.Department of Physics and AstronomyMcMaster UniversityHamiltonCanada
  2. 2.Theoretical Physics GroupTata Institute of Fundamental ResearchBombayIndia
  3. 3.Institute of Mathematical SciencesMadrasIndia

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