{"id":51,"date":"2020-10-07T14:49:17","date_gmt":"2020-10-07T19:49:17","guid":{"rendered":"https:\/\/qft-mathphys.uniandes.edu.co\/anreyes\/?page_id=51"},"modified":"2024-03-14T11:29:54","modified_gmt":"2024-03-14T16:29:54","slug":"teoria-de-grupos","status":"publish","type":"page","link":"https:\/\/qft-mathphys.uniandes.edu.co\/anreyes\/teoria-de-grupos\/","title":{"rendered":"Teor\u00eda de Grupos en Mec\u00e1nica Cu\u00e1ntica"},"content":{"rendered":"

FISI-3005\/4005<\/h2>\n

Programa del curso<\/strong><\/a><\/p>\n

Tareas:<\/h3>\n

Tarea 1<\/a>,\u00a0Tarea 2<\/a>,\u00a0Tarea 3<\/a>,\u00a0Tarea 4<\/a><\/strong><\/p>\n

Notas de clase:<\/h3>\n
    \n
  1. El concepto de simetr\u00eda (PDF<\/strong><\/a>)<\/li>\n
  2. Subgrupos, homomorfismos, etc. (PDF<\/strong><\/a>)<\/li>\n
  3. Subgrupos finitos de SO(3) (PDF<\/strong><\/a>)<\/li>\n
  4. Representaciones de grupos (PDF<\/strong><\/a>)<\/li>\n
  5. El lema de Schur (PDF<\/a><\/strong>)<\/li>\n
  6. Caracteres (PDF<\/a><\/strong>)<\/li>\n
  7. La representaci\u00f3n regular (PDF<\/a><\/strong>)<\/li>\n
  8. El \u00e1lgebra de grupo (PDF<\/a><\/strong>)<\/li>\n
  9. Irreps y clases de conjugaci\u00f3n (PDF<\/a><\/strong>)<\/li>\n
  10. Tablas de caracteres (PDF<\/a><\/strong>)<\/li>\n
  11. Vibraciones moleculares<\/li>\n
  12. Grupos continuos. Generadores infinitesimales<\/li>\n
  13. Productos semidirectos<\/li>\n
  14. Clasificaci\u00f3n de part\u00edculas seg\u00fan Wigner<\/li>\n
  15. Teorema de Peter-Weyl. Irreps. de SU(2)<\/li>\n
  16. El grupo de permutaciones-I<\/li>\n
  17. El grupo de permutaciones-II<\/li>\n
  18. \n
      \n
    1. <\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

      Algunas referencias y material suplementario:<\/h3>\n