In this work we discuss the relationship between the instantaneous-action-at-a-distance solutions of Maxwell‟s equations obtained using Helmholtz theorem and the Lorentz‟s invariant solutions of the same equations obtained ...

It is well known that the use of Helmholtz decomposition theorem for static vector fields C : R3 → R3 , when applied to the time dependent vector fields E : R4 → R3 , B : R4 → R3 which represent the electromagnetic field, ...

In this work we substantiate the applying of the Helmholtz vector decomposition theorem (H-theorem) to vector fields in classical electrodynamics. Using the H-theorem, within the framework of the twoparameter Lorentz-like ...