Spinors in extended Minkowski space
The exterior algebra of Minkowski space naturally has the structure of a sixteen-dimensional Clifford algebra representation, and so can be used as the space of spinors. We examine plane, circular, and spherical solutions to the free Dirac equation in this extended notion of Minkowski space, and ind...
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| Sprache: | eng |
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| Zusammenfassung: | The exterior algebra of Minkowski space naturally has the structure of a
sixteen-dimensional Clifford algebra representation, and so can be used as the
space of spinors. We examine plane, circular, and spherical solutions to the
free Dirac equation in this extended notion of Minkowski space, and indicate
how they can be used to obtain solutions to the standard four-dimensional Dirac
equation. |
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| DOI: | 10.48550/arxiv.2310.14794 |