*Quaternionic quantum mechanics* is the proposal to consider the principles of quantum mechanics but with the ground field of complex numbers systematically replaced by the ring of quaternions instead.

- Stephen Adler,
*Quaternionic Quantum Mechanics and Quantum Fields*, International series of monographs on physics 88 Oxford University Press. - Valter Moretti, Marco Oppio Quantum theory in quaternionic Hilbert space: How PoincarĂ© symmetry reduces the theory to the standard complex one
Rev. Math. Phys. 31, (2019) 1950013

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