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.