arXiv subjects

Graham M. Kemp

Publications and source records attributed to Graham M. Kemp.

2 recordsLinked to original sources

arXiv2013

Discrete analogues of Dirac's magnetic monopole and binary polyhedral groups

We introduce some discrete analogues of the Dirac magnetic monopole on a unit sphere S^2 and explain how to compute the corresponding spectrum using the representation theory of finite groups. The main examples are certain magnetic Laplacians on the regular polyhedral graphs, coming from induced representations of the binary polyhedral groups.

math-ph↗

arXiv2013

On geometric quantization of the Dirac magnetic monopole

We give a simple derivation of the spectrum of the Dirac magnetic monopole on a unit sphere based on geometric quantization and the Frobenius reciprocity formula. We also briefly discuss the generalisations of Dirac magnetic monopole to any coadjoint orbit of a compact Lie group.

math-ph↗