| Revista: | Brazilian journal of physics |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000398865 |
| ISSN: | 0103-9733 |
| Autores: | Arminjon, Mayeul1 Reifler, Frank2 |
| Instituciones: | 1Centre National de la Recherche Scientifique, Laboratoire Sols, Solides, Structures, Risques, Grenoble, Isere. Francia 2Lockheed Martin Corporation, Moorestown, New Jersey. Estados Unidos de América |
| Año: | 2008 |
| Periodo: | Jun |
| Volumen: | 38 |
| Número: | 2 |
| Paginación: | 248-258 |
| País: | Brasil |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Analítico |
| Resumen en inglés | We define and study the probability current and the Hamiltonian operator for a fully general set of Dirac matrices in a flat spacetime with affine coordinates, by using the Bargmann-Pauli hermitizing matrix. We find that with some weak conditions on the affine coordinates, the current, as well as the spectrum of the Dirac Hamiltonian, thus all of quantum mechanics, are independent of that set. These results allow us to show that the tensor Dirac theory, which transforms the wave function as a spacetime vector and the set of Dirac matrices as a third-order affine tensor, is physically equivalent to the genuine Dirac theory, based on the spinor transformation. The tensor Dirac equation extends immediately to general coordinate systems, thus to non-inertial (e.g. rotating) coordinate systems |
| Disciplinas: | Física y astronomía |
| Palabras clave: | Física de partículas y campos cuánticos, Mecánica cuántica, Ecuación de Dirac |
| Keyword: | Physics and astronomy, Particle physics and quantum fields, Quantum mechanics, Dirac equation |
| Texto completo: | Texto completo (Ver PDF) |
