Relativistic three-body problem in a configuration representation

A configuration representation is introduced in the relativistic three-body problem in the framework of the three-dimensional formulation of quantum field theory. Finite-difference analogs of the Schrödinger equations are obtained in relative variables. These equations are used to obtain a relativistic generalization of Faddeev's integral equations for the wave functions. Difficulties due to the integral nature of the relationships between the relative variables are noted.