{"id":130881,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/variedades-graduadas-y-sus-aplicaciones-en-supermecanica\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"variedades-graduadas-y-sus-aplicaciones-en-supermecanica","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/variedades-graduadas-y-sus-aplicaciones-en-supermecanica\/","title":{"rendered":"Variedades graduadas y sus aplicaciones en supermecanica."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Hector Figueroa Gonzalez <\/strong><\/h2>\n<p>La idea de estudiar sistemas dinamicos que incluyan variables bosonicas y fermionicas a la vez se remonta, al menos, a los trabajos de casalbouni de 1976 y desde entonces se han usado frecuentemente en fisica. Sin embargo, por diversas razones, un estudio sistematico y riguroso desde un punto de vista geometrico es una tarea que se pospuso hasta hace unos pocos a\u00f1os. Con esta inquietud nos hemos propuesto revisar los cimientos geometricos de la supermecanica, tanto del formalismo hamiltoniano como del lagrangiano, en el contexto graduado.  nuestro objetivo central ha sido obtener una version geometrica intrinseca de estas teorias y hemos puesto un enfasis especial en obtener una version geometrica intrinseca de la supermecanica lagrangiana de orden superior que constituye nuestra principal contribucion y que, hasta donde nosotros sabemos, se ha desarrollado aqui por primera vez.  para lograr lo anterior hemos tenido que realizar una revision completa y exhaustiva de los pilares geometricos que sustentan la teoria, y hemos tenido que extender al contexto graduado muchas de las herramientas que se suelen usar en la teoria clasica.  desde este punto de vista, una contribucion importante ha sido la introduccion de campos vectoriales a lo largo de un morfismo en el contexto de las variedades graduadas.  si bien es cierto que estos objetos proveian a la mecanica clasica de simplificaciones importantes, en el contexto graduado han sido de vital importancia, no solo porque es la herramienta que permite evitar las construcciones puntuales que suelen ser inconvenientes en el contexto que nos interesa, sino porque todos los objetos basicos de la geometria se construyen a partir de ellos.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Variedades graduadas y sus aplicaciones en supermecanica.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Variedades graduadas y sus aplicaciones en supermecanica. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Hector Figueroa Gonzalez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Zaragoza<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1996<\/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> Cari\u00f1ena Marzo Jos\u00e9 Fernando<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Boya Balet Luis Joaquin <\/li>\n<li>Manuel Fernandez-ra\u00f1ada Menendez (vocal)<\/li>\n<li>Miguel Carlos Mu\u00f1oz Lecanda (vocal)<\/li>\n<li>Alberto Ibort Latre (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Hector Figueroa Gonzalez La idea de estudiar sistemas dinamicos que incluyan variables bosonicas y fermionicas a la [&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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