Affiliation:
1. Departamento de Matemática Pura e Aplicada, Universidade Federal do Rio Grande do Sul (UFRGS), Caixa Postal 15080, 91501-970 Porto Alegre RS, Brazil
Abstract
In this paper, we solve the quaternionic Dirac equation [Formula: see text] in the real Hilbert space, and we ascertain that their free particle solutions set comprises eight elements in the case of a massive particle, and a four elements solutions set in the case of a massless particle, a richer situation when compared to the four elements solutions set of the usual complex Dirac equation [Formula: see text]. These free particle solutions were unknown in the previous solutions of anti-Hermitian quaternionic quantum mechanics, and constitute an essential element in order to build a quaternionic quantum field theory [Formula: see text].
Publisher
World Scientific Pub Co Pte Ltd
Subject
Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics
Cited by
3 articles.
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1. Spin and angular momentum in quaternionic quantum mechanics;Europhysics Letters;2023-03-23
2. Quaternionic fermionic field;International Journal of Modern Physics A;2022-11-20
3. Quaternionic scalar field in the real Hilbert space;International Journal of Modern Physics A;2022-05-30