Abstract
It is shown that quaternion quantum mechanics can be deduced from a general principle for constructing the mathematical apparatus of a physical theory of submicroscopic events. In the axiomatics of the theory, this principle may be formally characterized by postulating invariance (with respect to the probability function), in propositional calculus, of a certain set endowed with a prescribed “algebraical” structure.
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The author would like to thank Prof. D. J. Newman (London) for valuable critical comments and for his kind interest in this work.
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Jenč, F. Remarks on quaternion quantum mechanics. Czech J Phys 16, 555–562 (1966). https://doi.org/10.1007/BF01695151
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DOI: https://doi.org/10.1007/BF01695151