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An analogue of the operator curl for nonabelian gauge groups and scattering theory

Research paper by A. Sevostyanov

Indexed on: 22 May '06Published on: 22 May '06Published in: Mathematics - Analysis of PDEs



Abstract

We introduce a new perturbation for the operator curl related to connections with nonabelian gauge groups. We also prove that the perturbed operator is unitary equivalent to the operator curl if the corresponding connection is close enough to the trivial one with respect to a certain topology on the space of connections.