---
_id: '2744'
abstract:
- lang: eng
text: 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.
author:
- first_name: David
full_name: Eng, David
last_name: Eng
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
citation:
ama: 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
apa: 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. https://doi.org/10.1142/S0129055X0500242X
chicago: 'Eng, David, and László Erdös. “The Linear Boltzmann Equation as the Low
Density Limit of a Random Schrödinger Equation.” *Reviews in Mathematical Physics*
17, no. 6 (2005): 669–743. https://doi.org/10.1142/S0129055X0500242X.'
ieee: 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, pp. 669–743, 2005.
ista: 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.
mla: 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.
short: D. Eng, L. Erdös, Reviews in Mathematical Physics 17 (2005) 669–743.
date_created: 2018-12-11T11:59:22Z
date_published: 2005-07-01T00:00:00Z
date_updated: 2019-04-26T07:22:19Z
day: '01'
doi: 10.1142/S0129055X0500242X
extern: 1
intvolume: ' 17'
issue: '6'
month: '07'
page: 669 - 743
publication: Reviews in Mathematical Physics
publication_status: published
publisher: World Scientific Publishing
publist_id: '4148'
quality_controlled: 0
status: public
title: The linear Boltzmann equation as the low density limit of a random Schrödinger
equation
type: journal_article
volume: 17
year: '2005'
...