{"id":94741,"date":"2009-02-07T00:00:00","date_gmt":"2009-02-07T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/galoisian-approach-to-supersymmetric-quantum-mechanics\/"},"modified":"2009-02-07T00:00:00","modified_gmt":"2009-02-07T00:00:00","slug":"galoisian-approach-to-supersymmetric-quantum-mechanics","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/teoria-cuantica\/galoisian-approach-to-supersymmetric-quantum-mechanics\/","title":{"rendered":"Galoisian approach to supersymmetric quantum mechanics"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Primitivo Belen Acosta Humanez <\/strong><\/h2>\n<p>Esta tesis versa sobre el punto de vista desde la teor\u00eda de galois diferencial hacia la  mec\u00e1nica cu\u00e1ntica supersim\u00e9trica. El objeto principal considerado aqu\u00ed es la ecuaci\u00f3n de  schr\u00ed\u00b6dinger estacionaria no relativista, especialmente los casos integrables en el sentido  de la teor\u00eda de picard-vessiot theory y las principales herramientas algor\u00edtmicas utilizadas  aqu\u00ed son el algoritmo de kovacic y el m\u00e9todo de la algebrizaci\u00f3n para obtener ecuaciones  diferenciales lineales con coeficientes racionales.     analizamos las transformaciones de darboux, la iteraci\u00f3n de crum y la mec\u00e1nica cu\u00e1ntica  supersim\u00e9trica con sus versiones algebrizadas desde un acercamiento galoisiano.  aplicando el m\u00e9todo de la algebrizaci\u00f3n y el algoritmo de kovacic obtenemos el estado  base, las funciones propias, los valores propios los grupos de galois diferenciales y los  anillos propios de algunas ecuaciones de schr\u00ed\u00b6dinger con potenciales tales como  exactamente resoluble y potenciales de forma invariante. Finalmente, introducimos una  metodolog\u00eda para buscar potenciales exactamente resolubles. Para construir otros  potenciales, aplicamos el m\u00e9todo de la algebrizaci\u00f3n en forma inversa, desde ecuaciones  diferenciales que tengan polinomios ortogonales y funciones especiales como soluciones.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Galoisian approach to supersymmetric quantum mechanics<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Galoisian approach to supersymmetric quantum mechanics <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Primitivo Belen Acosta Humanez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de catalunya<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 02\/07\/2009<\/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  Jos\u00e9 Moralez Ruiz<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: jean-pierre Ramis <\/li>\n<li>michele Loday-richaud (vocal)<\/li>\n<li>Francisco Marcellan (vocal)<\/li>\n<li>moulay Barkatou (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Primitivo Belen Acosta Humanez Esta tesis versa sobre el punto de vista desde la teor\u00eda de galois [&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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