  After a summary of a recently proposed new type of instant form of dynamics
(the Wigner-covariant rest-frame instant form), the reduced Hamilton equations
in the covariant rest-frame Coulomb gauge for the isolated system of N scalar
particles with pseudoclassical Grassmann-valued electric charges plus the
electromagnetic field are studied. The Lienard-Wiechert potentials of the
particles are evaluated and it is shown how the causality problems of the
Abraham-Lorentz-Dirac equation are solved at the pseudoclassical level. Then,
the covariant rest-frame description of scalar electrodynamics is given.
Applying to it the Feshbach-Villars formalism, the connection with the particle
plus electromagnetic field system is found.
