{"publication_status":"published","volume":17,"publication":"Reviews in Mathematical Physics","year":"2005","doi":"10.1142/S0129055X0500242X","date_created":"2018-12-11T11:59:22Z","status":"public","_id":"2744","issue":"6","publist_id":"4148","author":[{"full_name":"Eng, David","last_name":"Eng","first_name":"David"},{"last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","full_name":"László Erdös","orcid":"0000-0001-5366-9603"}],"date_published":"2005-07-01T00:00:00Z","day":"01","date_updated":"2021-01-12T06:59:25Z","abstract":[{"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.","lang":"eng"}],"month":"07","publisher":"World Scientific Publishing","quality_controlled":0,"type":"journal_article","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.","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>.","short":"D. Eng, L. Erdös, Reviews in Mathematical Physics 17 (2005) 669–743.","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>","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.","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>"},"page":"669 - 743","extern":1,"title":"The linear Boltzmann equation as the low density limit of a random Schrödinger equation"}