On a Possible Generalization of Quantum Mechanics
Open Access
- 1 January 1960
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 23 (1) , 17-31
- https://doi.org/10.1143/PTP.23.17
Abstract
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.Keywords
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