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arXiv · hep-th/9906067

Magnetic fields and factored two-spheres

J. S. Dowker
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Abstract

A magnetic monopole is placed at the centre of a 3-ball whose surface, S, is tiled by the symmetry group, G, of a regular solid. The quantum mechanics on the two-dimensional quotient, S/G, is developed and the monopole charge is found to be quantized in the expected manner. The heat-kernels and zeta-functions are evaluated and the Casimir energies computed as examples of the formalism. Numerical approaches to the calculation of the derivative of the Barnes zeta-function are presented.

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J. S. Dowker. 1999-06-09. Magnetic fields and factored two-spheres. https://doi.org/10.1063/1.1345501

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