The Electromagnetic Field in the Relativistic Uniform Model

The potentials and the field strengths of the electromagnetic field, the energies of particles and of the field are calculated for the relativistic uniformly charged system with invariant charge density. The difference between the relativistic approach and the classical uniform model is shown. The conclusion is proved that in the absence of the general magnetic field the energy of particles, associated with the scalar field potential, is twice as large in the absolute value as the energy, determined with the help of the tensor invariant of the electromagnetic field, which is part of the system’s Hamiltonian