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TMF, 1986, Volume 69, Number 1, Pages 69–77 (Mi tmf5204)  

Fock representation for quaternion fields

A. B. Govorkov


Abstract: A Fock representation is determined for a nonrelativistic self-adjoint (“Majorana”) field based on quaternions, and the quantum mechanics of the parafermions of third order corresponding to it is formulated. Attention is drawn to the difference between the gauge “pseudocolor” $SO(3)$ symmetry of the automorphisms of such a field and the global $SU(3)$ symmetry of the states of the particles corresponding to it in the Fock space.

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English version:
Theoretical and Mathematical Physics, 1986, 69:1, 1007–1013

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Received: 24.06.1985

Citation: A. B. Govorkov, “Fock representation for quaternion fields”, TMF, 69:1 (1986), 69–77; Theoret. and Math. Phys., 69:1 (1986), 1007–1013

Citation in format AMSBIB
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\paper Fock representation for quaternion fields
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\vol 69
\issue 1
\pages 69--77
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\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 69
\issue 1
\pages 1007--1013
\crossref{https://doi.org/10.1007/BF01037675}
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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