Authors: Jesus Alberto Cazares Montes
Capıtulo 1. Ecuacion relativista de onda: Historia y el armazon general matematico 1 1.1 Teorıa relativista de una partıcula y notacion relativista 1 1.2 Grupos de Lorentz y Poincare 5 1.3 Ecuacion de Dirac 11 Capıtulo 2. Ecuacion relativista de onda: Las representaciones del tipo (j, 0) + (0, j) 17 Postulados de Wigner: Una ecuacion de onda para spin j 17 2.2 Spin j = 1/2: Ecuacion de Dirac 20 2.2.1 Soluciones a la ecuacion de Dirac 23 2.2.2 Espinores propios del operador de helicidad 27 2.3 Spin j = 1: Ecuaciones de Maxwell-Weinberg 28 2.3.1 Soluciones a la ecuacion de Maxwell-Weinberg 32 2.3.2 Espinores propios del operador de helicidad 35 2.3.3 Lımite sin masa 36 Capıtulo 3. Generalizaciones y simetrıas 41 Generalizaciones a la relacion de Ryder-Burgard para spin j = 1/2 41 3.2 Generalizaciones de la relacion de Ryder-Burgard para spin j = 1 46 3.3 Bispinores de Majorana 48 3.3.1 Bispinores para spin j = 1/2 48 3.3.2 Bispinores para spin j = 1 52 3.4 Ecuaciones en base de las relaciones entre bispinores de helicidad opuesta 56 3.5 Paridad 62 Apendice. Traduccion al espanol del artıculo ”Teoria simmetrica dell’elettrone e del positrone”de E. Majorana, Nuovo Cimento 14 (1937) 171-184. 65 • Bibliografıa 80
Comments: 82 Pages. Thesis in Spanish.
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