[{"intvolume":" 108","_id":"2711","conference":{"name":"QMath: Mathematical Results in Quantum Physics"},"date_created":"2018-12-11T11:59:12Z","citation":{"ieee":"L. Erdös, “Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation,” presented at the QMath: Mathematical Results in Quantum Physics, 1999, vol. 108, pp. 233–242.","ista":"Erdös L. 1999. Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation. QMath: Mathematical Results in Quantum Physics, Operator Theory: Advances and Applications, vol. 108, 233–242.","apa":"Erdös, L. (1999). Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation (Vol. 108, pp. 233–242). Presented at the QMath: Mathematical Results in Quantum Physics, World Scientific Publishing. https://doi.org/10.1007/978-3-0348-8745-8_20","chicago":"Erdös, László. “Linear Boltzmann Equation as the Weak Coupling Limit of the Random Schrödinger Equation,” 108:233–42. World Scientific Publishing, 1999. https://doi.org/10.1007/978-3-0348-8745-8_20.","ama":"Erdös L. Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation. In: Vol 108. World Scientific Publishing; 1999:233-242. doi:10.1007/978-3-0348-8745-8_20","short":"L. Erdös, in:, World Scientific Publishing, 1999, pp. 233–242.","mla":"Erdös, László. *Linear Boltzmann Equation as the Weak Coupling Limit of the Random Schrödinger Equation*. Vol. 108, World Scientific Publishing, 1999, pp. 233–42, doi:10.1007/978-3-0348-8745-8_20."},"alternative_title":["Operator Theory: Advances and Applications"],"month":"01","date_updated":"2021-01-12T06:59:12Z","quality_controlled":0,"publisher":"World Scientific Publishing","status":"public","title":"Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation","date_published":"1999-01-01T00:00:00Z","publication_status":"published","abstract":[{"lang":"eng","text":"We study the long 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 the solution of a linear Boltzmann equation globally in time. The Boltzmann collision kernel is given by the Born approximation of the quantum scattering cross section."}],"extern":1,"page":"233 - 242","publist_id":"4185","doi":"10.1007/978-3-0348-8745-8_20","author":[{"orcid":"0000-0001-5366-9603","last_name":"Erdös","full_name":"László Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László"}],"volume":108,"type":"conference","day":"01","year":"1999"}]