Abstract:
The relativistic two-body problem is considered in an arbitrary frame of reference on the
basis of the three-dimensional formulation of quantum field theory. Relative momenta are
introduced by means of an addition operation in Lobachevskii space; it is shown the center
of mass motion can then be separated and the problem formulated in a single-particle form.
This makes it possible to formulate the quasipotential approach in a covariant form mad
introduce a relativistic configuration space. This approach is compared with the analogous
formulation of the nonrelativistic problem.