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Spin and Isospin in Quaternion Quantum Mechanics

M. D. Maia
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Abstract

The algebraic consistency of spin and isospin at the level of an unbroken SU(2) gauge theory suggests the existence of an additional angular momentum besides the spin and isospin and also produces a full quaternionic spinor operator. The latter corresponds to a vector boson in space-time, interpreted as a SU(2) gauge field. The existence of quaternionic spinor fields implies in a quaternionic Hilbert space and its necessary mathematical analysis. It is shown how to obtain a unique representation of a quaternion function by a convergent positive power series.

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M. D. Maia. 1999-04-08. Spin and Isospin in Quaternion Quantum Mechanics. https://arxiv.org/abs/hep-th/9904067

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