On Quaternions and Monopoles
Quantum Physics
2022-04-05 v1
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.
Cite
@article{arxiv.quant-ph/9803002,
title = {On Quaternions and Monopoles},
author = {G. G. Emch and A Jadczyk},
journal= {arXiv preprint arXiv:quant-ph/9803002},
year = {2022}
}
Comments
12 pages amstex, Postscript file available also at http://www.ift.uni.wroc.pl/~ajad