| Journal: | Revista mexicana de física |
| Database: | PERIÓDICA |
| System number: | 000384014 |
| ISSN: | 0035-001X |
| Authors: | Sobczyk, G1 |
| Institutions: | 1Universidad de las Américas, Departamento de Físico Matemáticas, Puebla. México |
| Year: | 2015 |
| Season: | May-Jun |
| Volumen: | 61 |
| Number: | 3 |
| Pages: | 211-223 |
| Country: | México |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico, teórico |
| English abstract | The geometric algebras of space and spacetime are derived by sucessively extending the real number system to include new mutually anticommuting square roots of ±1. The quantum mechanics of spin 1/2 particles are then expressed in these geometric algebras. Classical 2 and 4 component spinors are represented by geometric numbers which have parity, providing new insight into the familiar bra-ket formalism of Dirac. The classical Dirac Equation is shown to be equivalent to the Dirac-Hestenes equation, so long as the issue of parity is not taken into consideration, the latter quantity being constructed in such a way that it is parity invarient |
| Disciplines: | Física y astronomía |
| Keyword: | Física, Formalismo de Bra-Ket, Algebra geométrica, Espacio-tiempo, Ecuación de Schrodinger-Pauli, Ecuación de Dirac-Hestenes, Operador Spinor |
| Keyword: | Physics and astronomy, Physics, Bra-Ket formalism, Geometric algebra, Space-time, Schrödinger-Pauli equation, Dirac-Hestenes equation, Spinor operator |
| Full text: | Texto completo (Ver PDF) |
