{"id":89745,"date":"2001-06-04T00:00:00","date_gmt":"2001-06-04T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/kinks-sistemas-integrales-y-geodesicas-solitones-en-el-modelo-sigma-o3-lineal\/"},"modified":"2001-06-04T00:00:00","modified_gmt":"2001-06-04T00:00:00","slug":"kinks-sistemas-integrales-y-geodesicas-solitones-en-el-modelo-sigma-o3-lineal","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/kinks-sistemas-integrales-y-geodesicas-solitones-en-el-modelo-sigma-o3-lineal\/","title":{"rendered":"Kinks, sistemas integrales y geodesicas: solitones en el modelo sigma o(3) lineal"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Gonzalez Leon Miguel Angel <\/strong><\/h2>\n<p>En este trabajo se estudian las soluciones de tipo ondas solitaria o kinks de una deformaci\u00f3n del modelo sigma o(n) lineal que generaliza al caso de campos escalares reales el conocido modelo mstb de dos campos.  el metodo empleado es la analog\u00eda mecanica, es decir, la reinterpretacion de las ecuaciones de los campos, para las soluciones kink, como las ecuaciones de newton de un sistema dinamico asociado. El sistema en estudio resulta ser completamente integrable ( en el sentido de arnold-lioville ) y ademas, la ecuaci\u00f3n de hamilton-jacobi correspondiente es separable utilizable coordenadas elipticas de jacobi n-dimensionales.  se han analizado con detalle las soluciones correspondientes al caso n=3, obteniendose una estructura rica del espacio de soluciones, susceptible de ser compactificado de varias formas diferentes, altamente no triviales.  el estudio de la estabilidad de las soluciones kink es en general muy complicado e inabordable analiticamente pues se hace necesario calcular los espectros de operadores diferenciales matriciales. Se han desarrollado varias tecnicas para establecer la estabilidad o inestabilidad de las trayectorias solucion de un sistema dinamico con la estabilidad de las correspondientes geodesicas en la metricas de jacobi asociada al mismo y que viene determinada por la ecuacion de desviaci\u00f3n geod\u00e9sica. La generalizaci\u00f3n al caso de espacios no localmente simetricos de las tecnicas de diagonalizacion de la curvetura seccional habituales en la literatura ha permitido tratar esta ecuacion y su problema espectral asociado, estableciendose de esta manera un criterio de estabilidad de tipo geometrico.  por otro lado, se ha demostrado el car\u00e1cter pre-supersimetrico del modelo en estudio, calculandose una familia de superpotenciales validos para esta teoria. Ello ha permitido clasificar los kinks en kinks bps y kinks no-bps, identificandose los primeros como los unicos estables.  finalmente la aplicaci\u00f3n de<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Kinks, sistemas integrales y geodesicas: solitones en el modelo sigma o(3) lineal<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Kinks, sistemas integrales y geodesicas: solitones en el modelo sigma o(3) lineal <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Gonzalez Leon Miguel Angel <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Salamanca<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 06\/04\/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>Juan Mateos Guilarte<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jos\u00e9 Mar\u00eda Mu\u00f1oz porras <\/li>\n<li> Cari\u00f1ena marzo Jos\u00e9 Fernando (vocal)<\/li>\n<li> Boya balet Luis joaquin (vocal)<\/li>\n<li>Mar\u00eda no del Olmo Martinez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Gonzalez Leon Miguel Angel En este trabajo se estudian las soluciones de tipo ondas solitaria o kinks [&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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