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Bulletin of the London Mathematical Society Advance Access originally published online on December 11, 2007
Bulletin of the London Mathematical Society 2007 39(6):1005-1018; doi:10.1112/blms/bdm100
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© 2007 London Mathematical Society

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

A. Sevostyanov

Department of Mathematical Sciences
University of Aberdeen
Aberdeen AB24 3UE
United Kingdom

Received 5 February 2007. Revision received 28 June 2007.

We introduce a new perturbation for the operator curl related to connections with nonabelian gauge groups over R3. We also prove that the perturbed operator is unitarily 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.

2000 Mathematics Subject Classification 47A40 (primary); 35P25 (secondary).


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