Abstract
Abstract Dynamics of quantum field theory can be formulated by functional equations. To develop a complete functional quantum theory one has to describe the physical information by functional operations. One of the most important physical information of elementary particle physics is the S-matrix. To derive a functional expression for this quantity the potential scattering model is studied. A functional S-matrix is defined and its equivalence with the ordinary S-matrix definition in physical Hilbert space is proven. Also a calculational method for scattering functionals is proposed. In the appendices technical details are discussed.
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