{"status":"public","oa_version":"None","_id":"2694","year":"2002","alternative_title":["LNP"],"publication":"Dynamics of Dissipation","conference":{"name":"38th Winter School of Theoretical Physics : Dynamical Semigroups: Dissipation, Chaos, Quanta"},"page":"487 - 506","type":"book_chapter","abstract":[{"lang":"eng","text":"We outline the status of rigorous derivations of certain classical evolution equations as limits of Schrödinger dynamics. We explain two recent results jointly with H.T. Yau in more details. The first one is the derivation of the linear Boltzmann equation as the long time limit of the one-body Schrödinger equation with a random potential. The second one is the mean field limit of high density bosons with Coulomb interaction that leads to the nonlinear Hartree equation."}],"article_processing_charge":"No","doi":"10.1007/3-540-46122-1_19","month":"01","publication_identifier":{"isbn":["9783540441113"]},"date_updated":"2023-07-18T10:23:18Z","extern":"1","publication_status":"published","publisher":"Springer","quality_controlled":"1","title":"Scaling limits of Schrödinger quantum mechanics","day":"01","language":[{"iso":"eng"}],"date_created":"2018-12-11T11:59:06Z","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","author":[{"full_name":"Erdös, László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","last_name":"Erdös","first_name":"László"}],"series_title":"Lecture Notes in Physics","date_published":"2002-01-01T00:00:00Z","publist_id":"4203","citation":{"chicago":"Erdös, László. “Scaling Limits of Schrödinger Quantum Mechanics.” In <i>Dynamics of Dissipation</i>, 487–506. Lecture Notes in Physics. Springer, 2002. <a href=\"https://doi.org/10.1007/3-540-46122-1_19\">https://doi.org/10.1007/3-540-46122-1_19</a>.","ista":"Erdös L. 2002.Scaling limits of Schrödinger quantum mechanics. In: Dynamics of Dissipation. LNP, , 487–506.","short":"L. Erdös, in:, Dynamics of Dissipation, Springer, 2002, pp. 487–506.","ama":"Erdös L. Scaling limits of Schrödinger quantum mechanics. In: <i>Dynamics of Dissipation</i>. Lecture Notes in Physics. Springer; 2002:487-506. doi:<a href=\"https://doi.org/10.1007/3-540-46122-1_19\">10.1007/3-540-46122-1_19</a>","apa":"Erdös, L. (2002). Scaling limits of Schrödinger quantum mechanics. In <i>Dynamics of Dissipation</i> (pp. 487–506). Springer. <a href=\"https://doi.org/10.1007/3-540-46122-1_19\">https://doi.org/10.1007/3-540-46122-1_19</a>","ieee":"L. Erdös, “Scaling limits of Schrödinger quantum mechanics,” in <i>Dynamics of Dissipation</i>, Springer, 2002, pp. 487–506.","mla":"Erdös, László. “Scaling Limits of Schrödinger Quantum Mechanics.” <i>Dynamics of Dissipation</i>, Springer, 2002, pp. 487–506, doi:<a href=\"https://doi.org/10.1007/3-540-46122-1_19\">10.1007/3-540-46122-1_19</a>."}}