Abstract
An attempt to describe particles by hermitian operators obeying commutator relations leads to a ring of sixteen elements to be represented by matrices of infinite rank. Equations of motion containing elements of the ring are shown to be invariant under charge-conjugation, time-reversal and inhomogeneous Lorentz transformations. Analogs to Pauli- and Gürsey-transformations can also be defined and may be used to introduce isospin and helicity.
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Herrn Prof. W.Wessel danke ich für die Anregung zu dieser Arbeit und für die vielen wertvollen Diskussionen.
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Weicksel, H. Invarianzgruppen von Bewegungsgleichungen mit Kommutatorring. Z. Physik 205, 291–302 (1967). https://doi.org/10.1007/BF01326251
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DOI: https://doi.org/10.1007/BF01326251