Quaternionic Dirac free particle

In this paper, we solve the quaternionic Dirac equation (ℍDE) 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 (ℂDE). 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 (ℍQFT).

Note:

Accept by Int. J. Mod. Phys. A

Quantum mechanics
relativistic wave equations
theory of quantized fields
03.65.−w
03.65.Pm
03.70.+k

References(52)

Figures(0)

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