Journal
REVIEWS IN MATHEMATICAL PHYSICS
Volume 17, Issue 6, Pages 669-743Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0129055X0500242X
Keywords
quantum Boltzmann equation; Anderson model; Boltzmarm-Grad limit; Lorentz gas
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We study the long time evolution of a quantum particle interacting with a random potential in the Boltzmann-Grad low density limit. We prove that the phase space density of the quantum evolution defined through the Husimi function converges weakly to a linear Boltzmann equation. The Boltzmann collision kernel is given by the full quantum scattering cross-section of the obstacle potential.
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