On Quaternions and Monopoles

Details On Quaternions and Monopoles On Quaternions and Monopoles

1998-02-28

arxiv.org/abs/quant-ph/9803002v1

Physics

Quantum Physics

12 pages amstex, Postscript file available also at http://www.ift.uni.wroc.pl/~ajad

Scientific paper

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.

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