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Electromagnetic Theory and Network Theory Using Clifford Algebra

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Clifford Algebras and Their Applications in Mathematical Physics

Part of the book series: NATO ASI Series ((ASIC,volume 183))

Abstract

Clifford algebra was introduced in electromagnetic theory around 1930 and in network theory in 1959. While it is necessary to use Clifford algebra in quantum mechanics in splitting up the Schrödinger equation to get the Dirac equation, it is not necessary to use Clifford algebra in electromagnetic theory or network theory. However, as Clifford algebra is the natural tool to use in connection with, for example, the Minkowski model of Lorentz space, it is quite useful in studying problems dealing with partially polarized waves (the Stokes vector), active, lossy, and noisy networks, etc. Some applications of Clifford algebra in electromagnetic theory and network theory will be discussed.

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Author information

Authors and Affiliations

  1. Division of Network Theory, Chalmers University of Technology, S-412 96, Gothenburg, Sweden

    E. Folke Bolinder

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  1. E. Folke Bolinder
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Editors and Affiliations

  1. Mathematical Institute, University of Kent, Canterbury, Kent, UK

    J. S. R. Chisholm  & A. K. Common  & 

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© 1986 D. Reidel Publishing Company

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Bolinder, E.F. (1986). Electromagnetic Theory and Network Theory Using Clifford Algebra. In: Chisholm, J.S.R., Common, A.K. (eds) Clifford Algebras and Their Applications in Mathematical Physics. NATO ASI Series, vol 183. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4728-3_40

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  • DOI: https://doi.org/10.1007/978-94-009-4728-3_40

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8602-8

  • Online ISBN: 978-94-009-4728-3

  • eBook Packages: Springer Book Archive

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