Revista: | Revista mexicana de física |
Base de datos: | PERIÓDICA |
Número de sistema: | 000384014 |
ISSN: | 0035-001X |
Autores: | Sobczyk, G1 |
Instituciones: | 1Universidad de las Américas, Departamento de Físico Matemáticas, Puebla. México |
Año: | 2015 |
Periodo: | May-Jun |
Volumen: | 61 |
Número: | 3 |
Paginación: | 211-223 |
País: | México |
Idioma: | Inglés |
Tipo de documento: | Artículo |
Enfoque: | Analítico, teórico |
Resumen en inglés | 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 |
Disciplinas: | Física y astronomía |
Palabras clave: | 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 |
Texto completo: | Texto completo (Ver PDF) |