Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-06-09
J.Math.Phys. 42 (2001) 1501-1532
Physics
High Energy Physics
High Energy Physics - Theory
43 pages, 4 figures. Uses JyTeX
Scientific paper
10.1063/1.1345501
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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