ar X iv : h ep - t h / 96 06 12 8 v 1 2 0 Ju n 19 96 ON THE EQUATION ∇ × a = κ a
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چکیده
We show that when correctly formulated the equation ∇ × a = κa does not exhibit some inconsistencies atributed to it, so that its solutions can represent physical fields. We want to look for solutions of Maxwell equations which describe stationary electromagnetic configurations – in the sense that the energy of the field does not propagate. In order to obtain one such stationary solution it is sufficient to find solutions of the vector equation ∇ × a = κ a, κ constant. (3) In fact, if we are looking for stationary solutions then in the rest frame we can make the following ansatz: E = a sin κt, B = a cos κt.
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