Kuruoğlu, Z. C.2016-02-082016-02-0820140259-9791http://hdl.handle.net/11693/26624The use of Bateman method for solving the two-variable version of the two-body Lippmann-Schwinger equation without recourse to partial-wave decomposition is investigated. Bateman method is based on a special kind of interpolation of the momentum representation of the potential on a multi-variate grid. A suitable scheme for the generation of a multi-variate Cartesian grid is described. The method is tested on the Hartree potential for electron-hydrogen scattering in the static no-exchange approximation. Our results show that the Bateman method is capable of producing quite accurate solutions with relatively small number of grid points.EnglishBateman interpolationDegenerate-kernel methods for integral equationsFaddeev equationsFew-body collisionsLippmann-Schwinger equationMulti-variate interpolation and approximationNystrom methodQuantum scattering theoryArticle10.1007/s10910-014-0352-y1572-8897