Multiparticle correlations in quaternionic quantum systems
Steven P. Brumby, Gayatri Joshi, R. Anderson
We investigate the outcome of measurements on correlated, few-body quantum systems described by a quaternionic quantum mechanics that allows for regions of quaternionic curvature. We find that a multiparticle interferometry experiment using a correlated system of four nonrelativistic, spin-half particles has the potential to detect the presence of quaternionic curvature. Two-body systems, however, are shown to give predictions identical to those of standard quantum mechanics when relative angles are used in the construction of the operators corresponding to measurements.
arXiv:hep-th/9406040•Physical Review A•Feb 1, 1995•7 citations