Monopole-based quantization: a programme
Mathematical Physics
2009-12-14 v1 High Energy Physics - Theory
math.MP
Abstract
We describe a programme to quantize a particle in the field of a (three dimensional) magnetic monopole using a Weyl system. We propose using the mapping of position and momenta as operators on a quaternionic Hilbert module following the work of Emch and Jadczyk.
Cite
@article{arxiv.0912.2188,
title = {Monopole-based quantization: a programme},
author = {J. F. Carinena and J. M. Gracia-Bondia and Fedele Lizzi and Giuseppe Marmo and Patrizia Vitale},
journal= {arXiv preprint arXiv:0912.2188},
year = {2009}
}
Comments
Contribution to the volume: Mathematical Physics and Field Theory, Julio Abad, In Memoriam}, M. Asorey, J.V. Garcia Esteve, M.F. Ranada and J. Sesma Editors, Prensas Universitaria de Zaragoza, (2009)