On Quaternions and Monopoles
arXiv:quant-ph/9803002
Abstract
It is shown that the quaternionic Hilbert space formulation of quantum mechanics allows a quantization, based on a generalized system of imprimitivity, that leads to a description of the motion of a quantum particle in the field of a magnetic monopole. The corresponding Hamilton operator is linked to the theory of projective representations in the weakened form proposed by Adler.
12 pages amstex, Postscript file available also at http://www.ift.uni.wroc.pl/~ajad