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Semiconductors pp 109–121Cite as

Methods of the Kinetic Theory of Gases Relevant to the Kinetic Models for Semiconductors

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Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 59))

Abstract

A survey of the mathematical techniques for the linear Boltzmann equation relevant to the kinetic approach to the theory of semiconductor devices is presented. Particular emphasis is given to the use of variational techniques and the computation of the Green’s function in a constant electric field.

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References

  1. H. L. Grubin, K. Hess, G. J. Iafrate and D. K. Ferry (Eds), Physics of Semiconductor Devices, Plenum, New York, 1984.

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milano, Italy

    Carlo Cercignani

Authors
  1. Carlo Cercignani
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Editor information

Editors and Affiliations

  1. AT&T Bell Laboratories, 600 Mountain Ave., Rm. 2T-502, Murray Hill, NJ, 07974-0636, USA

    W. M. Coughran Jr.

  2. Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY, 12180, USA

    Julian Cole

  3. Technology CAD, AT&T Bell Laboratories, 1247 S. Cedar Crest Blvd., Allentown, PA, 18103-6265, USA

    Peter Lloyd

  4. Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, 50 Vassar St., Rm. 36-880, Cambridge, MA, 02139, USA

    Jacob K. White

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© 1994 Springer-Verlag New York, Inc.

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Cercignani, C. (1994). Methods of the Kinetic Theory of Gases Relevant to the Kinetic Models for Semiconductors. In: Coughran, W.M., Cole, J., Lloyd, P., White, J.K. (eds) Semiconductors. The IMA Volumes in Mathematics and its Applications, vol 59. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8410-6_6

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  • DOI: https://doi.org/10.1007/978-1-4613-8410-6_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8412-0

  • Online ISBN: 978-1-4613-8410-6

  • eBook Packages: Springer Book Archive

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