New Formulation of One-body Problem in Quantum Electrodynamics

One electron states at time t are reasonably defined and the space spanned by them is denoted by [German Symbol]1e (t). One electron problem is clearly formulated using [German Symbol]1e. The motion of the projection of a given state Ψ onto [German Symbol]1e is described by the “wave function”. If Ψ is in [German Symbol]1e(-∞) the “wave function” satisfies the equation given by Schwinger. The probability of staying in one-electron state and the expectation values of physical quantities are written as the generalized form of ordinary quantum mechanics so as to indicate the non-local character of our theory. The expectation value of energy has the imaginary part concerned with the damping property. The application to the problem of Lamb shift and line breadth is made for example. Divergence difficulties are not concerned.