Tensors and the Clifford Algebra: Application to the Physics of Bosons and Fermions

by Alphonse Charlier, Alain Berard, Marie-France Charlier, Daniele Fristot

Overview

This practical reference and text presents the applications of tensors, Lie groups and algebra to Maxwell, Klein-Gordon and Dirac equations, making elementary theoretical physics comprehensible and high-level theoretical physics accessible.;Providing the fundamental mathematics necessary to understand the applications, Tensors and the Clifford Algebra offers lucid discussions of covariant tensor calculus; examines subjects from a variety of perspectives; supplies highly detailed developments of all calculations; employs the language of physics in its explanations; and illustrates the use of Clifford algebra and tensor calculus in studying bosons and fermions.;With over 2800 display equations and 14 appendixes, this book should be a useful reference for mathematical physicists and applied mathematicians, and an important text for upper-level undergraduate and graduate students in quantum mechanics, relativity, electromagnetism, theoretical physics, elasticity and field theory courses.

Product Details

ISBN-13:	9781000147995
Publisher:	CRC Press
Publication date:	08/26/2020
Series:	Chapman & Hall/CRC Pure and Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	344
File size:	25 MB
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About the Author

Alphonse Charlier (Author) , Alain Berard (Author) , Marie-France Charlier (Author) , Daniele Fristot (Author)

Table of Contents

Tensor analysis; Minkowski space; covariant formulation of electromagnetism; the Cayley-Klein parameters; vector algebra; application of Clifford algebra to bosons - Klein-Gordon equation; fermions - Dirac equation.