The Special Del and the Generalized Del

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Scientific Paper
Title The Special Del and the Generalized Del
Author(s) [[]]
Keywords del, nabla, Hamiltonian, vector analysis, tensor analysis
Published 2009
Journal Galilean Electrodynamics
Volume 20
Number 6
Pages 106-109

Abstract

The Special Del is a vector partial differential operator in Cartesian coordinates, put forward by William Rowan Hamilton. The Generalized Del is a vector displacement partial differential operator in general or-thogonal curvilinear coordinates. When the result of the Special Del operating on a tensor is still a tensor, it can be replaced with Generalized Del; if not, it cannot be replaced with a Generalized Del. This paper is very important for unifying symbols concerning field theory and teaching and for learning electromagnetic theory.