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or 

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The ordinary Maxwell’s equation system, describing an electromagnetic field (in vacuum), generated by the current density of electrical charges j$_{e}$ , can be written as 

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Since the result of action of operator ∂ 2 ∂x $^{i}$∂xk (symmetric with respect to indices i, k ) on antisymmetric tensor F ik A$_{e}$ (similar to any convolution of symmetric tensor with the antisym- metric one) identically equals zero, the continuity equation describing the charge conserva- tion law follows from (4b): 

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In quantum field theory, equation (4b) is replaced, according to definition (1), by the following equation: 

In the equation (4a) instead of tensor F$_{A}$$_{e}$ pseudo-tensor 

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dual to tensor F$_{A}$$_{e}$ , may be used, where e iklm is the absolutely antisymmetric, unit, four- dimensional pseudo-tensor of the fourth rank with weight W = +1, which components change their signs with permutation of any two indices and 

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by definition (pseudo-tensor e$_{iklm}$ has weight W = − 1 and e 0123 = − 1). With x coordinate system replaced by ¯ x coordinate system (caused by changes in the basis of n -dimensional 

