Some methods and results of analytic studies of the problem of three nuclear particles

The classical and modem methods and the results of analytic studies of the structure of the stationary Schrodinger and Faddeev equations and their solutions describing states of threeparticle systems with central and S-wave interactions are reviewed. Special attention is given to the angular analysis of these equations and the exact transformation laws of the threeparticle coordinates, operators, basis functions, and wave functions under cyclic permutations of the particles. The problem of spurious solutions is analyzed.