{"id":335,"date":"2016-06-07T15:16:19","date_gmt":"2016-06-07T15:16:19","guid":{"rendered":"http:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/?p=335"},"modified":"2016-06-07T15:16:19","modified_gmt":"2016-06-07T15:16:19","slug":"well-posedness-and-scattering-of-the-chern-simons-schrodinger-system","status":"publish","type":"post","link":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/2016\/06\/07\/well-posedness-and-scattering-of-the-chern-simons-schrodinger-system\/","title":{"rendered":"Well-posedness and scattering of the Chern-Simons-Schr\u00f6dinger system"},"content":{"rendered":"<p><em>Zhuo Min Harold Lim<\/em><strong>\u00a0<\/strong>(Cambridge, UK)<\/p>\n<p>The Chern-Simons-Schr\u00f6dinger system is a gauge-covariant version of the cubic nonlinear Schr\u00f6dinger equation in two space dimensions. It describes the effective dynamics of a large system of nonrelativistic<\/p>\n<p>charged quantum particles in the plane, interacting with each other and also with a self-generated long-range electromagnetic field. I will present my recent work establishing well-posedness in the energy space and scattering for the defocusing system, which describes a repulsive binary interaction. The scattering result is surprising from a physical point of view, and reflects subtle cancellations in the long-range\u00a0electromagnetic interactions<\/p>\n<p><a href=\"http:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/programme\/\">Back to Programme<\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Zhuo Min Harold Lim\u00a0(Cambridge, UK) The Chern-Simons-Schr\u00f6dinger system is a gauge-covariant version of the cubic nonlinear Schr\u00f6dinger equation in two space dimensions. It describes the effective dynamics of a large system of nonrelativistic charged quantum particles in the plane, interacting with each other and also with a self-generated long-range electromagnetic field. I will present my &hellip; <a href=\"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/2016\/06\/07\/well-posedness-and-scattering-of-the-chern-simons-schrodinger-system\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Well-posedness and scattering of the Chern-Simons-Schr\u00f6dinger system<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":8,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-335","post","type-post","status-publish","format-standard","hentry","category-posters"],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/posts\/335","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/comments?post=335"}],"version-history":[{"count":0,"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/posts\/335\/revisions"}],"wp:attachment":[{"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/media?parent=335"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/categories?post=335"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/ntnlpde16\/wp-json\/wp\/v2\/tags?post=335"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}