{"id":14323,"date":"2001-10-12T00:00:00","date_gmt":"2001-10-12T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/sistemas-lagrangianos-no-locales-en-el-tiempo\/"},"modified":"2001-10-12T00:00:00","modified_gmt":"2001-10-12T00:00:00","slug":"sistemas-lagrangianos-no-locales-en-el-tiempo","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/sistemas-lagrangianos-no-locales-en-el-tiempo\/","title":{"rendered":"Sistemas lagrangianos no locales en el tiempo"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jordi Vives Nebot <\/strong><\/h2>\n<p>Los sistemas lagrangianos no locales en el tiempo nos llevan a ecuaciones del movimiento integro-diferenciales o diferenciales de orden infinito. al no disponer de un teorema de existencia y unicidad de las soluciones, no podemos aplicar el formalismo est\u00e1ndar de hamiltonizaci\u00f3n (transformaci\u00f3n de legendre o de ostrogradsky).  en esta tesis desarrollamos un formalismo que nos obtiene el hamiltoniano y nos dota de estructura presimpl\u00e9ctica el espacio de soluciones del sistema no locla en el tiempo. El determinar si se trata de un formalismo simpl\u00e9tico depender\u00e1 del conocimiento del espacio de soluciones \u00f3 al menos de un subconjunto del mismo. Ya que el formalismo nos permite transportar la estructura simpl\u00e9ctica y el hamiltoniano a dicho subespacio. Lo cual es interesante si queremos realizar una reducci\u00f3n a orden finito o un desarrollo perturbativo singular.  el formalismo es gen\u00e9rico y se puede aplicar f\u00e1cilmente a muchos sistemas lagrangianos no locales en el tiempo. En nuestro caso lo hemos aplicado a una teor\u00eda de campos tipo klein-gordon con un t\u00e9rmino * no local y al problema de interacci\u00f3n a distancia en relatividad como es el modelo de la electrodin\u00e1mica de foller-wheeler-fynman. En ambos casos hemos obtenido el hamiltoniano, la forma simpl\u00e9ctica y un conjunto de coordenadas can\u00f3nicas, a primer orden en la constante de acoplamiento.  para la teor\u00eda de campos, dado que disponemos del hamiltoniano y los par\u00e9ntesis de poisson can\u00f3nicos, procedemos a realizar la cuantizaci\u00f3n can\u00f3nica al menos para calcular el primer v\u00e9rtice de la teor\u00eda.  para el modelo de la electrodin\u00e1mica de f-w-f dado que disponemos del hamiltoniano y un conjunto de coordenadas can\u00f3nicas, aplicamos el formalismo est\u00e1ndar de la mec\u00e1nica estad\u00edstica y calculamos la funci\u00f3n de partici\u00f3n para un gas diluido (constante de acoplamiento peque\u00f1a) con este tipo de interacci\u00f3n, el resultado obtenido es exacto en las velocidades y por tanto<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Sistemas lagrangianos no locales en el tiempo<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Sistemas lagrangianos no locales en el tiempo <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jordi Vives Nebot <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 10\/12\/2001<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Josep Llosa Carrasco<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jes\u00fas Mart\u00edn mart\u00edn <\/li>\n<li>joaquim Gomis torn\u00e9 (vocal)<\/li>\n<li>ram\u00f3n Lapiedra civera (vocal)<\/li>\n<li> Parra serra jospe Manuel (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jordi Vives Nebot Los sistemas lagrangianos no locales en el tiempo nos llevan a ecuaciones del movimiento [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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