About problem of interaction of field and substance in classical electrodynamics

Abstract

It is considered the problem of force interaction of electromagnetic field and substance in form of space-fixed solid bodies of uniform density. The problem is solved on the base of examining such integrals of Maxwell's equations as momentum and energy of electromagnetic field. General Maxwell's equations allow four versions of them that connected with the choice of the pair of vectors of the field among four pairs: E and H, D and B, E and B, D and H. Each version have own form of momentum and energy and own expression for the force, acting on the bodies. In static, all representations of those forces are equivalent, while in dynamics there is a difference between them, although for periodic electromagnetic processes the equivalency of all representations of the forces is average for the period. The forms of momentum and energy may be used for determination of the tensor of energy and momentum, including Abraham's tensor and Minkovsky's tensor.