Jump to content

The Special Del and the Generalized Del

From Natural Philosophy Wiki
Revision as of 13:27, 1 January 2017 by Maintenance script (talk | contribs) (Imported from text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Scientific Paper
TitleThe Special Del and the Generalized Del
Author(s)[[]]
Keywordsdel, nabla, Hamiltonian, vector analysis, tensor analysis
Published2009
JournalGalilean Electrodynamics
Volume20
Number6
Pages106-109

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.