On a group-theoretical approach to the curl operator
Jairzinho Ramos, M. de Montigny, F. C. Khanna · arXiv (Cornell University) · 2016
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.