Abstract
In the framework of relativistic dispersion theory, it is shown that the S matrix continued into the second Riemann sheet is just the inverse of the one on the first Riemann sheet. This formula is used for deriving a dispersion-like relation between the real and imaginary parts of the scattering phase shift and the product expansion for the S matrix. These results are generalizations of van Kampen's formulas in the theory of nonrelativistic potential scattering to those in the relativistic field theory. The Castillejo-Dalitz-Dyson ambiguity is discussed on the basis of the S matrix. Relations connecting the sum of the oscillator strengths with scattering lengths are derived in generalized forms. (auth)
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