The phenomenon of half-integer spin, quaternions, and Pauli matrices
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| Autoři: | , |
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| Médium: | artículo original |
| Stav: | Versión publicada |
| Datum vydání: | 2017 |
| Popis: | In this paper the phenomenon of half-integer spin exemplification Paul AM Dirac made with a pair of scissors, an elastic cord and chair play. Four examples in which the same phenomenon appears and the algebraic structure of quaternions is related to one of the examples are described. Mathematical proof of the phenomenon using known topological and algebraic results are explained. The basic results of algebraic structures are described quaternions H , and an intrinsic relationship with the phenomenon half-integer spin and the Pauli matrices is established. |
| Země: | Portal de Revistas UCR |
| Instituce: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Jazyk: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/27749 |
| On-line přístup: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/27749 |
| Klíčové slovo: | half-integer spin quaternions Pauli matrices fundamental group espín semientero cuaternios matrices de Pauli grupo fundamental |