The linear Boltzmann equation as the low density limit of a random Schrödinger equation
Eng D, Erdös L. 2005. The linear Boltzmann equation as the low density limit of a random Schrödinger equation. Reviews in Mathematical Physics. 17(6), 669–743.
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Journal Article
| Published
Author
Eng, David;
Erdös, LászlóISTA 
Abstract
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.
Publishing Year
Date Published
2005-07-01
Journal Title
Reviews in Mathematical Physics
Publisher
World Scientific Publishing
Volume
17
Issue
6
Page
669 - 743
IST-REx-ID
Cite this
Eng D, Erdös L. The linear Boltzmann equation as the low density limit of a random Schrödinger equation. Reviews in Mathematical Physics. 2005;17(6):669-743. doi:10.1142/S0129055X0500242X
Eng, D., & Erdös, L. (2005). The linear Boltzmann equation as the low density limit of a random Schrödinger equation. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X0500242X
Eng, David, and László Erdös. “The Linear Boltzmann Equation as the Low Density Limit of a Random Schrödinger Equation.” Reviews in Mathematical Physics. World Scientific Publishing, 2005. https://doi.org/10.1142/S0129055X0500242X.
D. Eng and L. Erdös, “The linear Boltzmann equation as the low density limit of a random Schrödinger equation,” Reviews in Mathematical Physics, vol. 17, no. 6. World Scientific Publishing, pp. 669–743, 2005.
Eng D, Erdös L. 2005. The linear Boltzmann equation as the low density limit of a random Schrödinger equation. Reviews in Mathematical Physics. 17(6), 669–743.
Eng, David, and László Erdös. “The Linear Boltzmann Equation as the Low Density Limit of a Random Schrödinger Equation.” Reviews in Mathematical Physics, vol. 17, no. 6, World Scientific Publishing, 2005, pp. 669–743, doi:10.1142/S0129055X0500242X.
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