Abstract:
Derivation of the exact system of algebraic equations for quantities determining
the Green function and the wave function of a particle in resulting field of arbitrary
fixed scattering centres. The equations obtained are written out in terms of scattering
amplitudes corresponding to the “internal” and “external” parts of two-particle potentials
and may be extended simply to the cases of particles with non-zero spin, many channel
scattering and non-potential interactions.