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Journal of Wuhan Urban Construction Institute

Secondary Discussion on Solving the Free Particle Dirac's Equation

Jin Ya

Published Jan 1, 2000• 0 citations
OpenAlex

Abstract

With the method of rotating the state vector space, the free particle Dirac's equation is easly solved. The results in the ref.[3] are discussed further.

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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].