{"title":"Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation","article_processing_charge":"No","language":[{"iso":"eng"}],"date_created":"2018-12-11T11:59:12Z","publication_identifier":{"isbn":["9783034897549"]},"intvolume":"       108","day":"01","page":"233 - 242","publisher":"World Scientific Publishing","publist_id":"4185","type":"conference","oa_version":"None","date_published":"1999-01-01T00:00:00Z","conference":{"location":"Prague, Czech Republik","end_date":"1999-09-26","start_date":"1998-06-22","name":"QMath: Mathematical Results in Quantum Physics"},"abstract":[{"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.","lang":"eng"}],"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","date_updated":"2022-09-13T08:02:52Z","author":[{"full_name":"Erdös, László","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","first_name":"László"}],"alternative_title":["Operator Theory: Advances and Applications"],"quality_controlled":"1","doi":"10.1007/978-3-0348-8745-8_20","_id":"2711","year":"1999","citation":{"ieee":"L. Erdös, “Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation,” in <i>Proceedings of the 7th QMath Conference</i>, Prague, Czech Republik, 1999, vol. 108, pp. 233–242.","short":"L. Erdös, in:, Proceedings of the 7th QMath Conference, World Scientific Publishing, 1999, pp. 233–242.","chicago":"Erdös, László. “Linear Boltzmann Equation as the Weak Coupling Limit of the Random Schrödinger Equation.” In <i>Proceedings of the 7th QMath Conference</i>, 108:233–42. World Scientific Publishing, 1999. <a href=\"https://doi.org/10.1007/978-3-0348-8745-8_20\">https://doi.org/10.1007/978-3-0348-8745-8_20</a>.","ama":"Erdös L. Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation. In: <i>Proceedings of the 7th QMath Conference</i>. Vol 108. World Scientific Publishing; 1999:233-242. doi:<a href=\"https://doi.org/10.1007/978-3-0348-8745-8_20\">10.1007/978-3-0348-8745-8_20</a>","apa":"Erdös, L. (1999). Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation. In <i>Proceedings of the 7th QMath Conference</i> (Vol. 108, pp. 233–242). Prague, Czech Republik: World Scientific Publishing. <a href=\"https://doi.org/10.1007/978-3-0348-8745-8_20\">https://doi.org/10.1007/978-3-0348-8745-8_20</a>","mla":"Erdös, László. “Linear Boltzmann Equation as the Weak Coupling Limit of the Random Schrödinger Equation.” <i>Proceedings of the 7th QMath Conference</i>, vol. 108, World Scientific Publishing, 1999, pp. 233–42, doi:<a href=\"https://doi.org/10.1007/978-3-0348-8745-8_20\">10.1007/978-3-0348-8745-8_20</a>.","ista":"Erdös L. 1999. Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation. Proceedings of the 7th QMath Conference. QMath: Mathematical Results in Quantum Physics, Operator Theory: Advances and Applications, vol. 108, 233–242."},"publication":"Proceedings of the 7th QMath Conference","month":"01","scopus_import":"1","volume":108,"extern":"1","publication_status":"published","status":"public"}