Sturm representation of the Green's function of noninteracting particles and the method of multidimensional angular Coulomb functions

Sturm representation of Green's function of an arbitrary number of noninteracting particles is derived using the multidimensional angular functions of the multidimensional angular Coulomb function method. This representation is used for estimating the bound state characteristics of many-body system with the Coulomb interaction. As an example, more precise values are obtained for binding energies and wave functions of the ground states of the Ne and Ar atoms, evaluated in the first approximation of the many-body angular Coulomb function method.