10.1142/S0129055X0500242X
Eng, David
David
Eng
László Erdös
László
Erdös0000-0001-5366-9603
The linear Boltzmann equation as the low density limit of a random Schrödinger equation
World Scientific Publishing
2005
2018-12-11T11:59:22Z
2019-04-26T07:22:19Z
journal_article
/record/2744
/record/2744.json
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.