  We develop an advanced method of solving homogeneous and inhomogeneous
Bethe-Salpeter equations by using the expansion over the complete set of
4-dimensional spherical harmonics. We solve Bethe-Salpeter equations for bound
and scattering states of scalar and spinor particles for the case of one meson
exchange kernels. Phase shifts calculated for the scalar model are in agreement
with the previously published results. We discuss possible manifestations of
separability for one meson exchange interaction kernels.
