{"id":12080,"date":"2001-09-07T00:00:00","date_gmt":"2001-09-07T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/tecnicas-algebraicas-en-sistemas-cuanticos-de-muchas-particulas\/"},"modified":"2001-09-07T00:00:00","modified_gmt":"2001-09-07T00:00:00","slug":"tecnicas-algebraicas-en-sistemas-cuanticos-de-muchas-particulas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/fisica\/tecnicas-algebraicas-en-sistemas-cuanticos-de-muchas-particulas\/","title":{"rendered":"Tecnicas algebraicas en sistemas cuanticos de muchas particulas"},"content":{"rendered":"<h2>Tesis doctoral de <strong> David Gomez-ullate Oteiza <\/strong><\/h2>\n<p>En esta tesis se extiende el estudio algebraico basado en la teoria de operadores cuasi-exactamente solubles (qes) en mecanica cuantica a problemas de muchas particulas. Los modelos estudiados describen n particulas que se mueven en una dimension sujetas a interacci\u00f3n mutua y a potenciales externos, que se conocen con el nombre generico de modelos de calogero-sutherland. estos modelos han atra\u00eddo la atenci\u00f3n de numerosos expertos en sistemas integrales, ya que son los unicos sistemas de su clase que admiten soluciones analiticas  en la tesis se desarrollan dos m\u00e9todos diferentes para construir modelos exactamente y cuasi-exactamente solubles. Para los primeros se puede calcular el espectro completo por metodos algebraicos, mientras que para los segundos solo un subconjunto finito, que suele contener el estado fundamental y los primeros estados excitados.  el primer metodo esta basado en una relaci\u00f3n clasica entre los ceros de soluciones particulares de ecuaciones diferenciales y sistemas din\u00e1micos de muchas part\u00edculas. La solubilidad cuasi-exacta de los hamiltonianos se prueba haciendo uso del algebra de simetria oculta  (n+1).  el segundo metodo posibilita la construccion de modelos de n particulas con espin y esta basado en la introduccion de varias familias de operadores de dunkl que preservan subespacios polinomicos de dimension finita.  se ha efectuado una clasificaci\u00f3n de todos los potenciales que se obtienen por este metodo. Esta clasificaci\u00f3n incluye todos los modelos de calogero-sutherland con espin discutidos previamente en la literatura, asi como modelos nuevos entre los que destacan los modelos con interaccion eliptica.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Tecnicas algebraicas en sistemas cuanticos de muchas particulas<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Tecnicas algebraicas en sistemas cuanticos de muchas particulas <\/li>\n<li><strong>Autor:<\/strong>\u00a0 David Gomez-ullate Oteiza <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 09\/07\/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>Artemio Gonzalez Lopez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Luis Martinez alonso <\/li>\n<li>francesco Cologero (vocal)<\/li>\n<li>Alberto Ibort latre (vocal)<\/li>\n<li>orlando Ragnisco (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de David Gomez-ullate Oteiza En esta tesis se extiende el estudio algebraico basado en la teoria de operadores [&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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