Quantum Transport and Boltzmann Operators |
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| Authors: | Philippe Bechouche Frédéric Poupaud Juan Soler |
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| Affiliation: | (1) Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, Granada, 18071, Spain;(2) Laboratoire J. A. Dieudonné, U.M.R. 6621 C.N.R.S., Université de Nice, Parc Valrose, Nice Cedex 2, F-06108, France;(3) Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, Granada, 18071, Spain |
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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. 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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| Keywords: | Random media asymptotic equation quantum transport Wigner transform Boltzmann equation radiative transport theory |
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