{"id":14644,"date":"2018-03-09T09:01:26","date_gmt":"2018-03-09T09:01:26","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/aspectos-geometricos-del-flujo-magnetico-en-superficies-de-riemann-y-su-aplicacion-al-problema-de-landau-hall\/"},"modified":"2018-03-09T09:01:26","modified_gmt":"2018-03-09T09:01:26","slug":"aspectos-geometricos-del-flujo-magnetico-en-superficies-de-riemann-y-su-aplicacion-al-problema-de-landau-hall","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/aspectos-geometricos-del-flujo-magnetico-en-superficies-de-riemann-y-su-aplicacion-al-problema-de-landau-hall\/","title":{"rendered":"Aspectos geom\u00e9tricos del flujo magn\u00e9tico en superficies de riemann y su aplicaci\u00f3n al problema de landau-hall"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Tom\u00e1s Carlos Tejero Prieto <\/strong><\/h2>\n<p>En la primera parte de la presente memoria se efect\u00faa un an\u00e1lisis geom\u00e9trico del flujo magn\u00e9tico en superficies de riemann y de los aspectos cl\u00e1sicos del problema de landau-hall.  comenzamos estudiando el electromagn\u00e9tismo en variedades riemannianas y demostramos teoremas de anulaci\u00f3n y existencia para campos electromagn\u00e9ticos covariantemente constantes; haciendo un estudio detallado en el caso de superficies de riemann, en las que se establece la relaci\u00f3n existente entre las ecuaciones de maxwell y los operadores de cauchy-riemann. A continuaci\u00f3n se desarrolla una formulaci\u00f3n del c\u00e1lculo de variaciones para problemas definidos por datos locales, lo que nos prmite dar una formulaci\u00f3n variacional de las teor\u00edas de chern-simons para fibrados no triviales.  en el tercer cap\u00edtulo se calculan las simetr\u00edas infinitesimales del problema de landau-hall en toda superficie de riemann dotada de una m\u00e9trica riemanniana de curvatura escalar constante.  en el siguiente cap\u00edtulo se estudia la formulaci\u00f3n simpl\u00e9ctica del problema de landau-hall, construy\u00e9ndose aplicaciones momento para las superficies de riemann simplemente conexas, lo que permite demostrar, entre otros resultados, la completa integrabilidad de este sistema, la existencia de la variedad de \u00f3rbitas de energ\u00eda constatne en superficies simplemente conexas, con lo que podemos caracterizar las \u00f3rbitas peri\u00f3dicas en todas las superficies de riemann.  la segunda parte de la memoria est\u00e1 dedicada a la formulaci\u00f3n geom\u00e9trica intr\u00ednseca de la teor\u00eda del transporte adiab\u00e1tico en superficies de riemann compactas para la familia de operadores de schr\u00ed\u00b6dinger parametrizada por los fibrados planos y a la determinaci\u00f3n expl\u00edcita de los fibrados espectrales y c\u00e1lculo de la curvatura adiab\u00e1tica. Para ello se estudia la cuantizaci\u00f3n geom\u00e9trica del problema de landau-hall y la resoluci\u00f3n espectral del operador de schr\u00ed\u00b6dinger a partir de una cadena el\u00edptica que se c<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Aspectos geom\u00e9tricos del flujo magn\u00e9tico en superficies de riemann y su aplicaci\u00f3n al problema de landau-hall<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Aspectos geom\u00e9tricos del flujo magn\u00e9tico en superficies de riemann y su aplicaci\u00f3n al problema de landau-hall <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Tom\u00e1s Carlos Tejero Prieto <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Salamanca<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 17\/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>Antonio L\u00f3pez Almorox<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Garc\u00eda per\u00e9z pedro Luis <\/li>\n<li> Olmo mart\u00ednez Mar\u00eda no a. del (vocal)<\/li>\n<li>Miguel Carlos Mu\u00f1oz lecanda (vocal)<\/li>\n<li>Andr\u00e9s Vi\u00f1a escalar (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Tom\u00e1s Carlos Tejero Prieto En la primera parte de la presente memoria se efect\u00faa un an\u00e1lisis geom\u00e9trico [&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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