language: en

Scattering on Magnetic Monopoles

Herbert-Rainer Petry
Institut für Theoretische Kernphysik der Universität Bonn
Z. Naturforsch. 35a, 1276-1284 (1980);

[received June 26 1980]

The time-dependent scattering theory of charged particles on magnetic monopoles is invest]* gated within a mathematical frame-work, which duely pays attention to the fact that the wavefunctions of the scattered particles are sections in a non-trivial complex line-bundle. It is found that Möller operators have to be defined in a way which takes into account the peculiar longrange behaviour of the monopole field. Formulas for the scattering matrix and the differential cross-section are derived, and, as a by-product, a momentum space picture for particles, which are described by sections in the underlying complex line-bundle, is presented.

Introduction