On a group-theoretical approach to the curl operator
Mathematical Physics
2016-05-18 v1 math.MP
Abstract
We utilize group-theoretical methods to develop a matrix representation of differential operators that act on tensors of any rank. In particular, we concentrate on the matrix formulation of the curl operator. A self-adjoint matrix of the curl operator is constructed and its action is extended to a complex plane. This scheme allows us to obtain properties, similar to those of the traditional curl operator.
Keywords
Cite
@article{arxiv.1605.04985,
title = {On a group-theoretical approach to the curl operator},
author = {J. Ramos and M. de Montigny and F. C. Khanna},
journal= {arXiv preprint arXiv:1605.04985},
year = {2016}
}
Comments
15 pages, no figure