{"quality_controlled":0,"abstract":[{"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.","lang":"eng"}],"publisher":"Wiley-Blackwell","doi":"10.1002/(SICI)1097-0312(200006)53:6<667::AID-CPA1>3.0.CO;2-5","year":"2000","author":[{"orcid":"0000-0001-5366-9603","first_name":"László","full_name":"László Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös"},{"last_name":"Yau","full_name":"Yau, Horng-Tzer","first_name":"Horng"}],"day":"01","date_published":"2000-06-01T00:00:00Z","type":"journal_article","date_updated":"2019-04-26T07:22:19Z","intvolume":" 53","page":"667 - 735","issue":"6","publication_status":"published","title":"Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation","volume":53,"_id":"2731","status":"public","publist_id":"4161","publication":"Communications on Pure and Applied Mathematics","month":"06","date_created":"2018-12-11T11:59:18Z","citation":{"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","short":"L. Erdös, H. Yau, Communications on Pure and Applied Mathematics 53 (2000) 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.","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.","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.","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","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."},"extern":1}