{"id":931,"date":"2012-06-05T12:51:06","date_gmt":"2012-06-05T12:51:06","guid":{"rendered":"http:\/\/lptms.u-psud.fr\/christophe_texier\/?page_id=931"},"modified":"2023-12-05T22:12:37","modified_gmt":"2023-12-05T22:12:37","slug":"integrale-de-chemin","status":"publish","type":"page","link":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/enseignements\/enseignements-en-master\/integrale-de-chemin\/","title":{"rendered":"M2 CFP &#8211; Int\u00e9grale de chemin"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Introduction \u00e0 l&rsquo;int\u00e9grale de chemin &#8211; Application pour la m\u00e9canique quantique, la physique statistique et l&rsquo;\u00e9tude des processus al\u00e9atoires<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Enseignement au Master CFP, parcours de physique quantique, \u00e0 l\u2019E.N.S<\/h3>\n\n\n\n<figure class=\"wp-block-image\"><a href=\"http:\/\/lptms.u-psud.fr\/christophe_texier\/files\/2012\/06\/Norbert_Wiener.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"182\" height=\"277\" src=\"http:\/\/lptms.u-psud.fr\/christophe_texier\/files\/2012\/06\/Norbert_Wiener.jpg\" alt=\"Norbert_Wiener\" class=\"wp-image-1268\" \/><\/a><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><a href=\"http:\/\/lptms.u-psud.fr\/christophe_texier\/files\/2012\/06\/Richard_Feynman4.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"208\" height=\"242\" src=\"http:\/\/lptms.u-psud.fr\/christophe_texier\/files\/2012\/06\/Richard_Feynman4.jpg\" alt=\"Richard_Feynman4\" class=\"wp-image-1273\" \/><\/a><\/figure>\n\n\n\n<p class=\"has-text-align-center\"> <\/p>\n\n\n\n<figure class=\"wp-block-image\"><a href=\"http:\/\/lptms.u-psud.fr\/christophe_texier\/files\/2012\/06\/ver.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"163\" src=\"http:\/\/lptms.u-psud.fr\/christophe_texier\/files\/2012\/06\/ver-300x163.jpg\" alt=\"ver\" class=\"wp-image-1274\" srcset=\"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/files\/2012\/06\/ver-300x163.jpg 300w, http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/files\/2012\/06\/ver.jpg 322w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"http:\/\/lptms.u-psud.fr\/christophe_texier\/files\/2012\/06\/bustamante_fig1-300x300.jpg\" alt=\"bustamante_fig1\" class=\"wp-image-1275\" srcset=\"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/files\/2012\/06\/bustamante_fig1-300x300.jpg 300w, http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/files\/2012\/06\/bustamante_fig1-150x150.jpg 150w, http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/files\/2012\/06\/bustamante_fig1.jpg 480w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/figure>\n\n\n\n<p class=\"has-text-align-center\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href=\"http:\/\/shaqfehpc06.stanford.edu\/database\/papers\/adambal\/siggiabustamante.pdf\">&nbsp; <\/a><\/p>\n\n\n\n<p class=\"has-text-align-center\"><a href=\"http:\/\/www.sciencemag.org\/content\/265\/5178\/1599.short\">Bustamante <em>et al<\/em>, Science <strong>265<\/strong>, 1599 (9 september 1994)<\/a><\/p>\n\n\n\n<p>2005-2010 : TD (1er semestre)<\/p>\n\n\n\n<p>2010-2012 : TD, Option de 2nd semestre<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Cours :<\/h2>\n\n\n\n<p>Le cours est assur\u00e9 par <a href=\"http:\/\/lptms.u-psud.fr\/accueil\/liste-des-membres\/chercheurs-et-enseignants-chercheurs\/\">Alain Comtet<\/a>, Professeur \u00e0 l&rsquo;<a href=\"http:\/\/www.upmc.fr\/\">Universit\u00e9 Pierre et Marie Curie<\/a>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><span style=\"font-size: medium\"><strong><span style=\"color: #008000\"><a href=\"http:\/\/lptms.u-psud.fr\/christophe_texier\/files\/2012\/06\/coursic_Alain_Comtet.pdf\"><span style=\"color: #008000\">Notes du cours d&rsquo;Alain Comtet<\/span><\/a><\/span><\/strong><\/span><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Sujets de TD :<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"http:\/\/lptms.u-psud.fr\/christophe_texier\/files\/2011\/03\/td1ic.pdf\">TD 1<\/a>: G\u00e9n\u00e9ralit\u00e9s.<\/li>\n\n\n\n<li><a href=\"http:\/\/lptms.u-psud.fr\/christophe_texier\/files\/2011\/03\/td2ic.pdf\">TD 2<\/a>: Int\u00e9grale de chemin pour l&rsquo;oscillateur harmonique.<\/li>\n\n\n\n<li><a href=\"http:\/\/lptms.u-psud.fr\/christophe_texier\/files\/2011\/03\/td3ic.pdf\">TD 3<\/a>: Approximation semiclassique et effet tunnel &#8212; Application \u00e0 l&rsquo;\u00e9tude des singularit\u00e9 de Lifshitz de la DoS d&rsquo;hamiltonien d\u00e9sordonn\u00e9s par la m\u00e9thode des r\u00e9pliques.<\/li>\n\n\n\n<li><a href=\"http:\/\/lptms.u-psud.fr\/christophe_texier\/files\/2010\/03\/td4ic.pdf\">TD 4<\/a>: \u00c9lasticit\u00e9 des polym\u00e8res.<\/li>\n\n\n\n<li><a href=\"http:\/\/lptms.u-psud.fr\/christophe_texier\/files\/2010\/03\/td5ic.pdf\">TD 5<\/a>: Formule de Feynman-Kac (annexe : <a title=\"autres propri\u00e9t\u00e9s des marche al\u00e9atoire et du mvt brownien\" href=\"http:\/\/lptms.u-psud.fr\/christophe_texier\/files\/2012\/05\/td5ic_annexe.pdf\">autres propri\u00e9t\u00e9s des marches al\u00e9atoires et du mvt brownien<\/a>).<\/li>\n\n\n\n<li><a href=\"http:\/\/lptms.u-psud.fr\/christophe_texier\/files\/2010\/03\/td6ic.pdf\">TD 6<\/a>: \u00c9quation de Langevin et de Fokker-Planck. Distribution de temps de premier passage.<br>Application pour l&rsquo;\u00e9tude de la localisation forte undimensionnelle.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Quelques sujets d&rsquo;examen<\/strong> :<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Examen 2007-2008 : Accrochage d&rsquo;un polym\u00e8re (3D)<\/li>\n\n\n\n<li>Examen 2008-2009 : Distribution du maximum d&rsquo;un pont brownien &#8212; Enroulement et correction de localisation faible<\/li>\n\n\n\n<li>Examen 2009-2010 : Distribution du temps local pour processus de Wiener et accrochage d&rsquo;un polym\u00e8re 1D<\/li>\n\n\n\n<li>Examen 2011-2012 : Constante de diffusion pour une courbe brownienne unique &#8212; Particule dans un champ de gravitation &#8212; Polym\u00e8re dirig\u00e9 en milieu d\u00e9sordonn\u00e9<\/li>\n\n\n\n<li>Examen 2012-2013 : Temps de s\u00e9jour pour un pont brownien &#8212; Mol\u00e9cule d&rsquo;ADN dans un \u00e9coulement fluide<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n","protected":false},"excerpt":{"rendered":"<p>Introduction \u00e0 l&rsquo;int\u00e9grale de chemin &#8211; Application pour la m\u00e9canique quantique, la physique statistique et l&rsquo;\u00e9tude des processus al\u00e9atoires Enseignement au Master CFP, parcours de physique quantique, \u00e0 l\u2019E.N.S &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Bustamante et al, Science 265, 1599 (9 september 1994) 2005-2010 &hellip; <a href=\"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/enseignements\/enseignements-en-master\/integrale-de-chemin\/\">Continuer la lecture <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":7,"featured_media":0,"parent":11,"menu_order":20,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-931","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/wp-json\/wp\/v2\/pages\/931","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/wp-json\/wp\/v2\/comments?post=931"}],"version-history":[{"count":21,"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/wp-json\/wp\/v2\/pages\/931\/revisions"}],"predecessor-version":[{"id":2825,"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/wp-json\/wp\/v2\/pages\/931\/revisions\/2825"}],"up":[{"embeddable":true,"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/wp-json\/wp\/v2\/pages\/11"}],"wp:attachment":[{"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/wp-json\/wp\/v2\/media?parent=931"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}