---
_id: '2731'
abstract:
- lang: eng
text: We study the time evolution of a quantum particle in a Gaussian random environment.
We show that in the weak coupling limit the Wigner distribution of the wave function
converges to a solution of a linear Boltzmann equation globally in time. The Boltzmann
collision kernel is given by the Born approximation of the quantum differential
scattering cross section.
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Horng
full_name: Yau, Horng-Tzer
last_name: Yau
citation:
ama: Erdös L, Yau H. Linear Boltzmann equation as the weak coupling limit of a random
Schrödinger equation. *Communications on Pure and Applied Mathematics*. 2000;53(6):667-735.
doi:10.1002/(SICI)1097-0312(200006)53:6<667::AID-CPA1>3.0.CO;2-5
apa: Erdös, L., & Yau, H. (2000). Linear Boltzmann equation as the weak coupling
limit of a random Schrödinger equation. *Communications on Pure and Applied
Mathematics*, *53*(6), 667–735. https://doi.org/10.1002/(SICI)1097-0312(200006)53:6<667::AID-CPA1>3.0.CO;2-5
chicago: 'Erdös, László, and Horng Yau. “Linear Boltzmann Equation as the Weak Coupling
Limit of a Random Schrödinger Equation.” *Communications on Pure and Applied
Mathematics* 53, no. 6 (2000): 667–735. https://doi.org/10.1002/(SICI)1097-0312(200006)53:6<667::AID-CPA1>3.0.CO;2-5.'
ieee: L. Erdös and H. Yau, “Linear Boltzmann equation as the weak coupling limit
of a random Schrödinger equation,” *Communications on Pure and Applied Mathematics*,
vol. 53, no. 6, pp. 667–735, 2000.
ista: Erdös L, Yau H. 2000. Linear Boltzmann equation as the weak coupling limit
of a random Schrödinger equation. Communications on Pure and Applied Mathematics.
53(6), 667–735.
mla: Erdös, László, and Horng Yau. “Linear Boltzmann Equation as the Weak Coupling
Limit of a Random Schrödinger Equation.” *Communications on Pure and Applied
Mathematics*, vol. 53, no. 6, Wiley-Blackwell, 2000, pp. 667–735, doi:10.1002/(SICI)1097-0312(200006)53:6<667::AID-CPA1>3.0.CO;2-5.
short: L. Erdös, H. Yau, Communications on Pure and Applied Mathematics 53 (2000)
667–735.
date_created: 2018-12-11T11:59:18Z
date_published: 2000-06-01T00:00:00Z
date_updated: 2019-04-26T07:22:19Z
day: '01'
doi: 10.1002/(SICI)1097-0312(200006)53:6<667::AID-CPA1>3.0.CO;2-5
extern: 1
intvolume: ' 53'
issue: '6'
month: '06'
page: 667 - 735
publication: Communications on Pure and Applied Mathematics
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4161'
quality_controlled: 0
status: public
title: Linear Boltzmann equation as the weak coupling limit of a random Schrödinger
equation
type: journal_article
volume: 53
year: '2000'
...