Abstract: | We construct explicitly three-dimensional localized solutions of the free Maxwell's equations with a phase expi(k x - t) which move like relativistic particles. The total field energyE of the moving lump is proportional to the frequency and its momentumP is proportional to the wave vectork, withE2 =P2 +M2. Further, if the angular momentum is different from zero, thenE =. These solutions thus model the wave-particle duality of quantum particles. |