Abstract

The general theory of part I is formulated for the case of quantum-electrodynamics. The Lorentz-condition, the gauge transformation, the connexion between potentials and (gauge invariant) field strengths and the (divergence free) current densityj Μ all require generalizations which are given. The Schrodinger equation is shown to be gauge invariant and the condition for the gauge invariance of theS-matrix is derived. Throughout the form factor is left open. It is shown that the space integral ofj 0 reduces to the ordinary total charge (if the form factor commutes with the field operators). The canonical energy-momentum vector is formally the same as in local theory (the difference lies in the different Hamiltonian). The possibilities for obtaining a gauge invariant energy-momentum vector are discussed.

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