{"id":134245,"date":"1997-01-01T00:00:00","date_gmt":"1997-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/hamiltonianos-cuasi-exactamente-solubles-y-superalgebras-de-lie-de-operadores-diferenciales\/"},"modified":"1997-01-01T00:00:00","modified_gmt":"1997-01-01T00:00:00","slug":"hamiltonianos-cuasi-exactamente-solubles-y-superalgebras-de-lie-de-operadores-diferenciales","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/hamiltonianos-cuasi-exactamente-solubles-y-superalgebras-de-lie-de-operadores-diferenciales\/","title":{"rendered":"Hamiltonianos cuasi-exactamente solubles y superalgebras de lie de operadores diferenciales."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Federico Finkel Morgenstern <\/strong><\/h2>\n<p>Los objetivos principales de esta tesis doctoral son, por un lado, avanzar en la fundamentacion matematica de los modelos cuasi-exactamente solubles (qes), y por otro aplicar los resultados teoricos obtenidos para construir nuevos hamiltonianos qes. En la primera parte de la memoria (capitulos 2-4) se estudian los operadores qes escalares. Se ha analizado el problema de bochner generalizado asociado a las algebras de lie qes maximales en dos variables. Se ha estudiado tambien la relacion entre potenciales qes unidimensionales y polinomios ortogonales. Por ultimo, se han construido algunos ejemplos de potenciales qes dependientes del tiempo. La segunda parte de la memoria (capitulos 5 y 6) esta dedicada al estudio de los operadores matriciales qes. Se ha completado la clasificacion de las superalgebras de lie de dimension finita de operadores diferenciales matriciales 2&#215;2 de primer orden en una variable compleja.  se han encontrado las condiciones necesarias y suficientes que debe satisfacer un operador matricial de segundo orden para ser equivalente a un operador de schrodinger matricial. Se han aplicado estos resultados para construir nuevos hamiltonianos matriciales 2&#215;2 en una dimension.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Hamiltonianos cuasi-exactamente solubles y superalgebras de lie de operadores diferenciales.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Hamiltonianos cuasi-exactamente solubles y superalgebras de lie de operadores diferenciales. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Federico Finkel Morgenstern <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1997<\/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: Alberto Galindo Tixaire <\/li>\n<li>Juan Mateos Guilarte (vocal)<\/li>\n<li>Luis Martinez Alonso (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 Federico Finkel Morgenstern Los objetivos principales de esta tesis doctoral son, por un lado, avanzar en 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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[2809,26590,986,199,1432,126],"tags":[5769,6173,39574,128819,21028,6254],"class_list":["post-134245","post","type-post","status-publish","format-standard","hentry","category-algebra","category-algebra-de-lie","category-complutense-de-madrid","category-fisica","category-fisica-teorica","category-matematicas","tag-alberto-galindo-tixaire","tag-alberto-ibort-latre","tag-artemio-gonzalez-lopez","tag-federico-finkel-morgenstern","tag-juan-mateos-guilarte","tag-luis-Martinez-alonso"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/134245","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=134245"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/134245\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=134245"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=134245"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=134245"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}