[{"date_published":"1999-01-01T00:00:00Z","date_updated":"2021-01-12T06:59:12Z","author":[{"last_name":"Erdös","first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603"}],"intvolume":" 108","day":"01","conference":{"name":"QMath: Mathematical Results in Quantum Physics"},"abstract":[{"lang":"eng"}],"publist_id":"4185","page":"233 - 242","quality_controlled":0,"_id":"2711","type":"conference","dini_type":"doc-type:conferenceObject","uri_base":"https://research-explorer.app.ist.ac.at","date_created":"2018-12-11T11:59:12Z","dc":{"description":["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."],"publisher":["World Scientific Publishing"],"title":["Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation","Operator Theory: Advances and Applications"],"rights":["info:eu-repo/semantics/closedAccess"],"identifier":["https://research-explorer.app.ist.ac.at/record/2711"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-0348-8745-8_20"],"type":["info:eu-repo/semantics/conferenceObject","doc-type:conferenceObject","text","http://purl.org/coar/resource_type/c_5794"],"creator":["László Erdös"],"date":["1999"],"source":["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"]},"citation":{"short":"L. Erdös, in:, World Scientific Publishing, 1999, pp. 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","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.","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.","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.","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."},"status":"public","volume":108,"publication_status":"published","month":"01","extern":1,"alternative_title":[]}]