{"author":[{"full_name":"Eng, David","first_name":"David","last_name":"Eng"},{"orcid":"0000-0001-5366-9603","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","full_name":"László Erdös"}],"doi":"10.1142/S0129055X0500242X","title":"The linear Boltzmann equation as the low density limit of a random Schrödinger equation","date_updated":"2021-01-12T06:59:25Z","publication_status":"published","quality_controlled":0,"day":"01","status":"public","intvolume":"        17","citation":{"mla":"Eng, David, and László Erdös. “The Linear Boltzmann Equation as the Low Density Limit of a Random Schrödinger Equation.” <i>Reviews in Mathematical Physics</i>, vol. 17, no. 6, World Scientific Publishing, 2005, pp. 669–743, doi:<a href=\"https://doi.org/10.1142/S0129055X0500242X\">10.1142/S0129055X0500242X</a>.","ieee":"D. Eng and L. Erdös, “The linear Boltzmann equation as the low density limit of a random Schrödinger equation,” <i>Reviews in Mathematical Physics</i>, vol. 17, no. 6. World Scientific Publishing, pp. 669–743, 2005.","apa":"Eng, D., &#38; Erdös, L. (2005). The linear Boltzmann equation as the low density limit of a random Schrödinger equation. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S0129055X0500242X\">https://doi.org/10.1142/S0129055X0500242X</a>","ama":"Eng D, Erdös L. The linear Boltzmann equation as the low density limit of a random Schrödinger equation. <i>Reviews in Mathematical Physics</i>. 2005;17(6):669-743. doi:<a href=\"https://doi.org/10.1142/S0129055X0500242X\">10.1142/S0129055X0500242X</a>","short":"D. Eng, L. Erdös, Reviews in Mathematical Physics 17 (2005) 669–743.","ista":"Eng D, Erdös L. 2005. The linear Boltzmann equation as the low density limit of a random Schrödinger equation. Reviews in Mathematical Physics. 17(6), 669–743.","chicago":"Eng, David, and László Erdös. “The Linear Boltzmann Equation as the Low Density Limit of a Random Schrödinger Equation.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2005. <a href=\"https://doi.org/10.1142/S0129055X0500242X\">https://doi.org/10.1142/S0129055X0500242X</a>."},"volume":17,"type":"journal_article","issue":"6","publist_id":"4148","month":"07","page":"669 - 743","year":"2005","_id":"2744","publisher":"World Scientific Publishing","date_published":"2005-07-01T00:00:00Z","extern":1,"abstract":[{"lang":"eng","text":"We study the long time evolution of a quantum particle interacting with a random potential in the Boltzmann-Grad low density limit. We prove that the phase space density of the quantum evolution defined through the Husimi function converges weakly to a linear Boltzmann equation. The Boltzmann collision kernel is given by the full quantum scattering cross-section of the obstacle potential."}],"date_created":"2018-12-11T11:59:22Z","publication":"Reviews in Mathematical Physics"}