Sasakawa, Tatuya; Horáček, Jiří A perturbative approach to scattering problems with short and long range potentials. (English) Zbl 0646.35060 Sci. Rep. Tôhoku, Univ., VIII. Ser. 1, No. 1, 7-15 (1980). Summary: A perturbative approach to the solution of Schrödinger equation proposed recently by Sasakawa and Sawada is studied for potentials containing a long range Coulomb tail. The rate of convergence is studied for nuclear as well as for atomic potentials. MSC: 35P25 Scattering theory for PDEs 35J10 Schrödinger operator, Schrödinger equation 81U10 \(n\)-body potential quantum scattering theory Keywords:three-body bound states; short and long range interactions; perturbative approach; Schrödinger equation; long range Coulomb tail; rate of convergence; atomic potentials PDFBibTeX XMLCite \textit{T. Sasakawa} and \textit{J. Horáček}, Sci. Rep. Tohoku Univ., VIII. Ser. 1, No. 1, 7--15 (1980; Zbl 0646.35060)