On the Derivation of the L.S.Z.-Reduction Formalism in Functional Quantum Theory

Abstract

In functional quantum theory the S-matrix of a quantized relativistic field can be expressed by the scalar product of functional advanced and retarded scattering states. It is shown that for point like particles this scalar product can be reformulated in accordance with the results of the L.S.Z.-reduction technique for the ^-matrix calculation in conventional quantum field theory. The reformulation is performed for the case of relativistic potential scattering but can easily be extended to other cases where the point like particles occur.