On the Symplectic Dirac Equation



Título del documento: On the Symplectic Dirac Equation
Revue: Brazilian journal of physics
Base de datos: PERIÓDICA
Número de sistema: 000389449
ISSN: 0103-9733
Autores: 1
2
3
Instituciones: 1Universidade de Brasilia, Faculdade Gama, Brasilia, Distrito Federal. Brasil
2Universidade de Brasilia, Instituto de Fisica, Brasilia, Distrito Federal. Brasil
3Universidade Federal do Maranhao, Departamento de Fisica, Sao Luis, Maranhao. Brasil
Año:
Periodo: Dic
Volumen: 45
Número: 6
Paginación: 664-672
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental, aplicado
Resumen en inglés Symplectic unitary representations for the Poincare group are studied. The formalism is based on the ´ noncommutative structure of the star–product, and using group theory approach as a guide, a consistent physical theory in phase space is constructed. The state of a quantum mechanics system is described by a quasi-probability amplitude that is in association with the Wigner function. In this context, we derive the Klein–Gordon and Dirac equations. As an application, we study the Dirac equation with electromagnetic interaction in phase space
Disciplinas: Matemáticas
Palabras clave: Matemáticas aplicadas,
Ecuación de Dirac,
Representación simpléctica,
Función de Wigner,
No conmutatividad
Keyword: Mathematics,
Applied mathematics,
Dirac equation,
Symplectic representation,
Wigner function,
Noncommutativity
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