Ebook: Tensors and the Clifford algebra application to the physics of bosons and fermions
Author: Charlier Alphonse
- Tags: Bosons--Mathematics, Calculus of tensors, Clifford algebras, Fermions--Mathematics, Mathematical physics, MATHEMATICS / Algebra / General, MATHEMATICS / General, Electronic books, Bosons -- Mathematics, Fermions -- Mathematics
- Series: Monographs and textbooks in pure and applied mathematics 163
- Year: 2020
- Publisher: CRC Press
- City: Boca Raton
- Edition: 1st edition
- Language: English
- pdf
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.;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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