### Abstract

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.

Original language | English |
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Pages (from-to) | 1005-1018 |

Number of pages | 14 |

Journal | Bulletin of the London Mathematical Society |

Volume | 39 |

Issue number | 6 |

DOIs | |

Publication status | Published - Dec 2007 |

### Keywords

- Schrodinger-operators
- Maxwell operator
- domains

### Cite this

**An analogue of the operator curl for nonabelian gauge groups and scattering theory.** / Sevostyanov, A.

Research output: Contribution to journal › Article

*Bulletin of the London Mathematical Society*, vol. 39, no. 6, pp. 1005-1018. https://doi.org/10.1112/blms/bdm100

}

TY - JOUR

T1 - An analogue of the operator curl for nonabelian gauge groups and scattering theory

AU - Sevostyanov, A.

PY - 2007/12

Y1 - 2007/12

N2 - 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.

AB - 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.

KW - Schrodinger-operators

KW - Maxwell operator

KW - domains

U2 - 10.1112/blms/bdm100

DO - 10.1112/blms/bdm100

M3 - Article

VL - 39

SP - 1005

EP - 1018

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

IS - 6

ER -