{"id":85,"date":"2025-06-18T20:54:32","date_gmt":"2025-06-18T19:54:32","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/tfg\/?p=85"},"modified":"2026-02-13T08:18:06","modified_gmt":"2026-02-13T07:18:06","slug":"estructures-de-poisson-reescrivint-fm%c2%b7a","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/tfg\/estructures-de-poisson-reescrivint-fm%c2%b7a\/","title":{"rendered":"Estructures de Poisson, reescrivint F=m\u00b7a"},"content":{"rendered":"\n<p>L&#8217;equaci\u00f3 \\(F=m\\cdot a\\) es reescriu, en el que s&#8217;anomena el formalisme hamiltoni\u00e0, en termes d&#8217;un bivector anomenat estructura de Poisson. Les estructures de Poisson s\u00f3n un objecte amb inter\u00e9s tant f\u00edsic (tamb\u00e9 en mec\u00e0nica qu\u00e0ntica o teoria de cordes) com matem\u00e0tic (en geometria diferencial, algebraica o teoria de representacions). Aquest treball consisteix en la comprensi\u00f3 de les nocions b\u00e0siques de la geometria de Poisson i el desenvolupament d&#8217;un aspecte m\u00e9s concret, ja siga purament matem\u00e0tic o relacionat amb les seues aplicacions a la f\u00edsica. \u00c9s adequat per a estudiants amb una bona base en Geometria Diferencial.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>L&#8217;equaci\u00f3 \\(F=m\\cdot a\\) es reescriu, en el que s&#8217;anomena el formalisme hamiltoni\u00e0, en termes d&#8217;un bivector anomenat estructura de Poisson. Les estructures de Poisson s\u00f3n un objecte amb inter\u00e9s tant f\u00edsic (tamb\u00e9 en mec\u00e0nica qu\u00e0ntica o teoria de cordes) com matem\u00e0tic (en geometria diferencial, algebraica o teoria de representacions). Aquest treball consisteix en la comprensi\u00f3 [&hellip;]<\/p>\n","protected":false},"author":54,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[31],"tags":[22],"class_list":["post-85","post","type-post","status-publish","format-standard","hentry","category-geometria-i-topologia","tag-roberto-rubio"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/85","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/users\/54"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/comments?post=85"}],"version-history":[{"count":1,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/85\/revisions"}],"predecessor-version":[{"id":86,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/85\/revisions\/86"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/media?parent=85"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/categories?post=85"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/tags?post=85"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}