Quaternionic quantum interferometry

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If scattering amplitudes are ordinary complex numbers (not quaternions) there is a universal algebraic relationship between the six coherent cross sections of any three scatterers (taken singly and pairwise). A violation of this relationship would indicate either that scattering amplitudes are quaternions, or that the superposition principle fails. Some possible experimental tests involve neutron interferometry, K_S-meson regeneration, and low energy proton-proton scattering.
7 pages LaTeX, to appear in "Quantum Interferometry" VCH Publishers (1996), edited by F. De Martini

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