Account of coulomb's effects in discrete representation of scattering theory

Quantum systems are considered in the paper aiming at the investigation of some general theoretical problems of the J-matrix formalism and its application to the description of concrete atomic and nuclear processes. As a result parametrical formulae for resonances have been obtained in frameworks of the J-matrix formalism. The effective method for the low-energy scattering has been constructed. The classifaction of SU(p,1), SO(3,1) group representations by the method of projective operators has been held. Positions of S-matrix poles have been calculated. The anisotropy coefficient in the angular distribution of photoelectrons at the photoionization of H_- ion has been also calculated. The calculation of S-phase of NN-scattering in frameworks of a six-quark model has been held. The paper results may find their field of application in theoretical atomic and nuclear physics, scattering theoryAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio