On some aspects of the Schroedinger multiparticle equation

Multiparticle Schoedinger equation registered in hyperspherical coordinates is considered. Nowadays, this equation is used for a very wide class of different systems and the method of its solution is canonized in the whole. That is why only two aspects of solution are considered: the existence of hyperradial algebra 0(2.1)sub(r) and accurate factorization of multiparticle Hamiltonian, which permits to specify the decision and to make a whole number of useful conclusions and estimates. This paper is ''Coulomb-oriented'', but where it is possible, result are generalized for arbitrary potentials or the possibility of such generalization is pointed out