The basis for engineering electromagnetic computations still relies on Gibbs' vector algebra. It is well known that Clifford algebra (geometric algebra) presents several enhancement on the latter. In this paper it is shown that Maxwell's equations can be cast in a form similar to Dirac equation by using spinors. Additionally, a similar relation is derived for the fields and the potentials. It is also shown that, as a consequence of using the geometric algebra approach, the Lorenz gauge comes naturally from the grade structure.

Maxwell's Equations and Potentials in Dirac form using Geometric Algebra

Mastri F.;
2019

Abstract

The basis for engineering electromagnetic computations still relies on Gibbs' vector algebra. It is well known that Clifford algebra (geometric algebra) presents several enhancement on the latter. In this paper it is shown that Maxwell's equations can be cast in a form similar to Dirac equation by using spinors. Additionally, a similar relation is derived for the fields and the potentials. It is also shown that, as a consequence of using the geometric algebra approach, the Lorenz gauge comes naturally from the grade structure.
2019 IEEE MTT-S International Wireless Symposium, IWS 2019 - Proceedings
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Mongiardo M.; Mastri F.; Monti G.; Rozzi T.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/709178
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