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Monopole-based quantization: a programme

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.Comment: 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

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