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An attempt is made to enlarge the number field underlying quantum mechanics from complex to quaternion. It is not impossible to construct quaternion quantum mechanics in quite a similar manner to the usual complex quantum mechanics, though some limitations are necessary for the position of factors. Further, as a special case, the charge properties of the spin-0 particles are considered. This example may show some new way to generalized the concept of the charge of the elementary particles without adoption of the iso-space.
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Tadashi Kaneno (1960) studied this question.
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