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On a group-theoretical approach to the curl operator

Research paper by J. Ramos, M. de Montigny, F. C. Khanna

Indexed on: 16 May '16Published on: 16 May '16Published in: Mathematical Physics



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.