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

Sevostyanov A. | Zendy

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

Author(s) -

Sevostyanov A.

Publication year - 2007

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/bdm100

Subject(s) - curl (programming language) , mathematics , operator (biology) , perturbation (astronomy) , topology (electrical circuits) , connection (principal bundle) , pure mathematics , mathematical analysis , quantum mechanics , physics , geometry , combinatorics , computer science , biochemistry , chemistry , repressor , transcription factor , gene , programming language

We introduce a new perturbation for the operator curl related to connections with nonabelian gauge groups over ℝ 3 . 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.

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