Quaternion Spin

Autor: Bryan Sanctuary
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematics, Vol 12, Iss 13, p 1962 (2024)
Druh dokumentu: article
ISSN: 12131962
2227-7390
DOI: 10.3390/math12131962
Popis: We present an analysis of the Dirac equation when the spin symmetry is changed from SU(2) to the quaternion group, Q8, achieved by multiplying one of the gamma matrices by the imaginary number, i. The reason for doing this is to introduce a bivector into the spin algebra, which complexifies the Dirac field. It then separates into two distinct and complementary spaces: one describing polarization and the other coherence. The former describes a 2D structured spin, and the latter its helicity, generated by a unit quaternion.
Databáze: Directory of Open Access Journals
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