Type: Preprint
Publication Date: 2010-03-01
Citations: 8
DOI: https://doi.org/10.1142/9789814304634_0031
XVIth International Congress on Mathematical Physics, pp. 406-416 (2010) No AccessDERIVATION OF EFFECTIVE EVOLUTION EQUATIONS FROM MANY BODY QUANTUM DYNAMICSBENJAMIN SCHLEINBENJAMIN SCHLEINDPMMS, University of Cambridge, Cambridge, CB3 0WB, UKhttps://doi.org/10.1142/9789814304634_0031Cited by:2 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Abstract: We review some recent results concerning the derivation of effective evolution equations from first principle quantum dynamics. In particular, we discuss the derivation of the Hartree equation for mean field systems and the derivation of the Gross-Pitaevskii equation for the time evolution of Bose-Einstein condensates. Keywords: Mean field systemsHartree equationBose-Einstein condensatesGross-Pitaevskii equation FiguresReferencesRelatedDetailsCited By 2The Solution of the Hierarchy of Quantum Kinetic Equations with Delta PotentialMartin Brokate and Mukhayo Rasulova20 October 2017Rate of Convergence Towards the Hartree–von Neumann Limit in the Mean-Field RegimeIoannis Anapolitanos9 March 2011 | Letters in Mathematical Physics, Vol. 98, No. 1 Recommended XVIth International Congress on Mathematical PhysicsMetrics History KeywordsMean field systemsHartree equationBose-Einstein condensatesGross-Pitaevskii equationPDF download