Geometry of spin 1/2 particles
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| Format: | Artículo científico |
| Language: | en |
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Sociedad Mexicana de Física A.C.
2015
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| author | G. Sobczyk |
| author_facet | G. Sobczyk |
| contents | Geometry of spin 1/2 particles G. Sobczyk Física, Astronomía y Matemáticas Bra Dirac spinor Schr¨odinger ket formalism 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. 2015 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57038074009 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.3 Vol.61 |
| format | Artículo científico |
| id | redalyc_57038074009 |
| institution | Redalyc |
| language | en |
| publishDate | 2015 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Geometry of spin 1/2 particles G. Sobczyk Física, Astronomía y Matemáticas Bra Dirac spinor Schr¨odinger ket formalism Geometry of spin 1/2 particles G. Sobczyk Física, Astronomía y Matemáticas Bra Dirac spinor Schr¨odinger ket formalism 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. 2015 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57038074009 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.3 Vol.61 |
| title | Geometry of spin 1/2 particles |
| topic | Física, Astronomía y Matemáticas Bra Dirac spinor Schr¨odinger ket formalism |
| url | https://www.redalyc.org/articulo.oa?id=57038074009 |