2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54058Closed expressions for the Green function and amplitude of the scalar particle scattering in the external gravitational field $g_{μν}(x)$ are found in the form of functional integrals. It is shown that, as compared with the scattering on the vector potential, the tensor character of the gravitational field leads to a more rapid increase of the cross section with increasing energy. Discrete energy levels of particles are obtained in the Newton potential.8 pages, LaTeXHigh Energy Physics - Theorytext