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Applications of Clifford Algebras in Physics

In: Lectures on Clifford (Geometric) Algebras and Applications

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  • William E. Baylis

    (University of Windsor, Department of Physics)

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.

Suggested Citation

  • William E. Baylis, 2004. "Applications of Clifford Algebras in Physics," Springer Books, in: Rafal Abłamowicz & Garret Sobczyk (ed.), Lectures on Clifford (Geometric) Algebras and Applications, chapter 4, pages 91-133, Springer.
    • Handle: RePEc:spr:sprchp:978-0-8176-8190-6_4
    DOI: 10.1007/978-0-8176-8190-6_4
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