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Quantum Transport and Boltzmann Operators

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Abstract

In this paper the transport of quantum particles in time-dependent random media is studied. In the white noise limit, a quantum model for collisions is obtained. At the level of Wigner equation, this limit is described by a linear Wigner-Boltzmann equation.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, Granada, 18071, Spain

    Philippe Bechouche

  2. Laboratoire J. A. Dieudonné, U.M.R. 6621 C.N.R.S., Université de Nice, Parc Valrose, Nice Cedex 2, F-06108, France

    Frédéric Poupaud

  3. Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, Granada, 18071, Spain

    Juan Soler

Authors
  1. Philippe Bechouche
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  2. Frédéric Poupaud
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  3. Juan Soler
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Corresponding author

Correspondence to Philippe Bechouche.

Additional information

AMS subject classifications: 35Q40, 35S10, 81Q99, 81V99

Á Fredo. Frédéric Poupaud deceased October 13th 2004.

This research was partially supported by the EU financed network IHP-HPRN-CT-2002-00282 and by MCYT (Spain), Proyecto BFM2002–00831.

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Bechouche, P., Poupaud, F. & Soler, J. Quantum Transport and Boltzmann Operators. J Stat Phys 122, 417–436 (2006). https://doi.org/10.1007/s10955-005-8082-y

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  • DOI: https://doi.org/10.1007/s10955-005-8082-y

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