Skip to main content
SpringerLink
Log in

Linear alternative to the Boltzmann equation without linearization: III. Impurity scattering and electric field

  • Papers
  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

Our previously reported projection formalism leading to a linear alternative to the Boltzmann (-Uehling-Uhlenbeck) kinetic equation is here applied to standard elastic scattering on impurities in solids and external electric field. In the former case in which the Boltzmann equation is linear, we prove that our formalism reproduces this equation. In the dc as well as ac electric field and for any scattering mechanism, it is verified that inclusion of the field reduces (upon neglecting of the field dependence of scattering processes) in the lowest order to inclusion of just the standard field driving term.

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. Čápek V. and Vodná L'.: Czech. J. Phys.44 (1994) 753 (paper I of the series).

    Google Scholar 

  2. Čápek V.: Czech. J. Phys.44 (1994) 763 (paper II of the series).

    Google Scholar 

  3. Boltzmann L.: Wien Ber. 66 (1872) 275.

    Google Scholar 

  4. Uehling E. A. and Uhlenbeck G. E.: Phys. Rev.43 (1933) 552.

    Google Scholar 

  5. Jones W. and March N. H.: Theoretical Solid State Physics, Vol. 2. Wiley, London-New York-Sydney-Toronto, 1973.

    Google Scholar 

  6. Kadanoff L. P. and Baym G.: Quantum Statistical Mechanics. W. A. Benjamin, New York, 1962.

    Google Scholar 

  7. Hashitsume N., Shibata F., and Shingu M.: J. Stat. Phys.17 (1977) 155.

    Google Scholar 

  8. Shibata F., Takahashi Y., and Hashitsume N.: J. Stat. Phys.17 (1977) 171.

    Google Scholar 

  9. Čápek V.: Czech. J. Phys.42 (1992) 317.

    Google Scholar 

Download references

Author information

Author notes

  1. V. Čápek

    Present address: Faculty of Mathematics and Physics, Institute of Physics of Charles University, Ke Karlovu 5, 121 16, Praha 2, Czech Republic

Authors and Affiliations

  1. International Centre for Theoretical Physics, P.O. Box 586, 34100, Trieste, Italy

    V. Čápek

  2. Faculty of Mathematics and Physics, Institute of Physics of Charles University, Ke Karlovu 5, 121 16, Praha 2, Czech Republic

    L'. Vodná

Authors
  1. V. Čápek
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L'. Vodná
    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

Čápek, V., Vodná, L. Linear alternative to the Boltzmann equation without linearization: III. Impurity scattering and electric field. Czech J Phys 44, 865–870 (1994). https://doi.org/10.1007/BF01787794

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01787794

Keywords

Search

Navigation