Proofs of Vector Identities Using Tensors
General Physics
2014-06-13 v1 Classical Physics
Abstract
The vector algebra and calculus are frequently used in many branches of Physics, for example, classical mechanics, electromagnetic theory, Astrophysics, Spectroscopy, etc. Important vector identities with the help of Levi-Civita symbols and Kronecker delta tensor are proved and presented in this paper. Some of the identities have been proved using Levi-Civita Symbols by other mathematicians and Physicists. The rests are presented for the first time. The derivations are of interest for both graduate and undergraduate students.
Cite
@article{arxiv.1406.3060,
title = {Proofs of Vector Identities Using Tensors},
author = {Zaheer Uddin and Intikhab Ulfat},
journal= {arXiv preprint arXiv:1406.3060},
year = {2014}
}