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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2011-01-23
Spinor and Hertzian Differential Forms in Electromagnetism
By
Pierre Hillion

    Dr. Pierre Hillion

    Institut Henri Poincare

    France

    Homepage

Progress In Electromagnetics Research M, Vol. 16, 197-211, 2011
doi:10.2528/PIERM10111501 | Google Scholar

Abstract
The purpose of this paper is to extend to spinor electromagnetism the differential forms, based on the Cartan exterior derivative and originally developed for tensor fields, in a very compact way. To this end, differential electromagnetic forms are first compared to conventional tensors. Then, using the local isomorphism between the O (3,C) and SL (2,C) groups supplying the well known connection between complex vectors and traceless second rank spinors, they are generalized to spinor electromagnetism and to Proca fields. These differential forms are finally expressed in terms of Hertz potentials.
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Citation
Pierre Hillion, "Spinor and Hertzian Differential Forms in Electromagnetism," Progress In Electromagnetics Research M, Vol. 16, 197-211, 2011.
doi:10.2528/PIERM10111501
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