A discussion to contradiction of the number of unknown variables and the number of Maxwell equations

Details A discussion to contradiction of the number of unknown variables and the number of Maxwell equations A discussion to contradiction of the number of unknown variables and the number of Maxwell equations

2010-02-04

arxiv.org/abs/1002.0892v1

Physics

General Physics

4 pages

Scientific paper

In Maxwell equations, there are both vector unknown variables(B,E), and they include 6 unknown components. However there are 8 equations in Maxwell equations. The number of equations is contradiction to the number of variables. The reason is that one component equation is not independent in the vector rotation equation, which includes 3 component equations, in Maxwell equations. There are two vector rotation equations in Maxwell equations, and then 6 independent equations and 6 variables are left. The questions of gauge conditions are talked about. If one redundant variable Az is used in A, phi formulation's Maxwell equations, the solutions of these equations are not unique, and gauge conditions are needed.

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