{"id":130573,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/las-funciones-de-weyl-para-la-ecuacion-de-schrodinger-con-potencial-ergodico\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"las-funciones-de-weyl-para-la-ecuacion-de-schrodinger-con-potencial-ergodico","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/las-funciones-de-weyl-para-la-ecuacion-de-schrodinger-con-potencial-ergodico\/","title":{"rendered":"Las funciones de weyl para la ecuacion de schrodinger con potencial ergodico."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Carmen Nu\u00f1ez Jimenez <\/strong><\/h2>\n<p>La memoria contiene el analisis, desde un punto de vista ergodico, de las funciones de weyl para la ecuacion de schrodinger de segundo orden con potencial acotado y uniformemente continuo. Las demostraciones de los teoremas principales se basan fuertemente en la estrecha relacion existente entre dichas funciones y el coeficiente de floquet. Este es estudiado en los primeros capitulos de la tesis, en los que se demuestra la derivabilidad direccional del numero de rotacion y el exponente de lyapunov en el espectro absolutamente continuo y se analizan las caracteristicas de las derivadas, de las cuales se obtienen ademas representaciones ergodicas. Partiendo de estas propiedades se prueba la convergencia no tangencial desde los semiplanos complejos de las funciones de weyl, calculandose los limites a partir de la ecuacion inicial.  en el caso de soluciones acotadas se demuestra tambien la convergencia uniforme.  los ultimos capitulos constituyen una extension de todos estos resultados a la matriz de jacobi unidimensional, analoga discreta de la ecuacion de schrodinger.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Las funciones de weyl para la ecuacion de schrodinger con potencial ergodico.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Las funciones de weyl para la ecuacion de schrodinger con potencial ergodico. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Carmen Nu\u00f1ez Jimenez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Valladolid<\/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>Rafael Obaya Garcia<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Rafael Ortega <\/li>\n<li>Angel Jorba Montes (vocal)<\/li>\n<li>Amadeu Delshams Vald\u00e9s (vocal)<\/li>\n<li>Cesar Palencia (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Carmen Nu\u00f1ez Jimenez La memoria contiene el analisis, desde un punto de vista ergodico, de las funciones [&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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