Abstract

A quasipotential approach to the relativistic two-body problem is developed on the basis of the three-dimensional Hamiltonian formulation of quantum field theory. A relativistic configuration representation is introduced and studied on the basis of a decomposition with respect to matrix elements of irreducible unitary representations of the Lorentz group. A representation is obtained for the quasipotential scattering amplitude at high energies that generalizes the nonrelativistic eikonal formula.

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