The phenomenon of half-integer spin, quaternions, and Pauli matrices

 

Gorde:
Xehetasun bibliografikoak
Egileak: González-Díaz, Fernando R., García-Salcedo, Ricardo
Formatua: artículo original
Egoera:Versión publicada
Argitaratze data:2017
Deskribapena: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.
Herria:Portal de Revistas UCR
Erakundea:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Hizkuntza:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/27749
Sarrera elektronikoa:https://revistas.ucr.ac.cr/index.php/matematica/article/view/27749
Gako-hitza:half-integer spin
quaternions
Pauli matrices
fundamental group
espín semientero
cuaternios
matrices de Pauli
grupo fundamental