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
(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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