Applications of Clifford Algebras in Physics

William E. Baylis ()
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William E. Baylis: University of Windsor, Department of Physics

Chapter 4 in Lectures on Clifford (Geometric) Algebras and Applications, 2004, pp 91-133 from Springer

Abstract: Abstract Clifford’s geometric algebra is a powerful language for physics that clearly describes the geometric symmetries of both physical space and spacetime. Some of the power of the algebra arises from its natural spinorial formulation of rotations and Lorentz transformations in classical physics. This formulation brings important quantum-like tools to classical physics and helps break down the classical/quantum interface. It also unites Newtonian mechanics, relativity, quantum theory, and other areas of physics in a single formalism and language. This lecture is an introduction and sampling of a few of the important applications in physics.

Keywords: 15A66; 17B37; 20C30; 81R25; Paravectors; duals; Maxwell’s equations; light polarization; Lorentz transformations; spin; gauge transformations; eigenspinors; Dirac equation; quaternions; Liénard-Wiechert potentials (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-0-8176-8190-6_4

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