Tensors and the Clifford Algebra: Application to the Physics of Bosons and Fermions, 1st Edition (Hardback) book cover

Tensors and the Clifford Algebra

Application to the Physics of Bosons and Fermions, 1st Edition

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

CRC Press

344 pages

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Hardback: 9780824786663
pub: 1992-06-16
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Description

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.

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.

About the Series

Chapman & Hall/CRC Pure and Applied Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MAT002000
MATHEMATICS / Algebra / General