Abstract
Maxwell's equations are formulated in a number of different representations: (a) As a single four-component spinor equation whose transformation properties are almost identical with those of the Dirac equation. (b) As a pair of uncoupled two-component spinor equations, in two different representations. One of these is similar to the Weyl equation for the neutrino field and the other to the two-component spinor form of the Dirac equation. (c) As a single equation in which the field variables are 2 × 2 matrices. In terms of these new field variables corresponding conservation laws are derived. Identification of these conservation laws with the standard ones is made. The transformations that are appropriate to the maintainance of covariance of the field equations are discussed.
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