| Journal: | Brazilian journal of physics |
| Database: | PERIÓDICA |
| System number: | 000389449 |
| ISSN: | 0103-9733 |
| Authors: | Amorim, R.G.G1 Ulhoa, S.C2 Silva, Edilberto O3 |
| Institutions: | 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 |
| Year: | 2015 |
| Season: | Dic |
| Volumen: | 45 |
| Number: | 6 |
| Pages: | 664-672 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental, aplicado |
| English abstract | 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 |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas aplicadas, Ecuación de Dirac, Representación simpléctica, Función de Wigner, No conmutatividad |
| Keyword: | Mathematics, Applied mathematics, Dirac equation, Symplectic representation, Wigner function, Noncommutativity |
| Full text: | Texto completo (Ver PDF) |
