Variable phase method for scattering on nonlocal potentials that admit separation of the variables in spheroidal coordinates

An expression is obtained for amplitudes of scattering on nonlocal spheroidal potentials which contains partial-wave amplitudes. In accordance with the variable phase method, equations are obtained for the amplitude functions. The partial-wave amplitudes are determined in the cases when separable potential functions participate in the expansion of the kernel of the potential with respect to the angular functions.