Tensors and the Clifford algebra : application to the physics of bosons and fermions

著者

書誌事項

Tensors and the Clifford algebra : application to the physics of bosons and fermions

Alphonse Charlier ... [et al.] ; translated by Amanda Taylor

(Monographs and textbooks in pure and applied mathematics, 163)

M. Dekker, c1992

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注記

Includes bibliographical references (p. 313-315) and index

内容説明・目次

内容説明

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.

目次

  • 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.

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