[en] In this work, the character of the energy spectrum of a particle in the fields of Coulomb and short-range nuclear forces is established. The derivation of the spectral representations of Coulomb and nuclear-coulomb Green function and proof of the completeness of the system of physical solutions of the radial Schroedinger equation using the spectral representations are presented. From the fact that in case when V(r) is not very singular at zero then the behaviour of the Schroedinger equation at the beginning of the coordinate system is defined by the centrifuged potential l(l+1)/r². The set of solutions can be divided into two classes of regular functions φ(r) proportional to r^l+1 ar r→0, and the class behaving like r^-1 at r→0. Any pair of solutions φ⁰(r) and f⁰(r) taken from the different classes composes linear independent system. The correlation between the behavior of nuclear-Coulomb solutions on K-plane and the behavior of nuclear potential V(r) at large r is discussed. The peculiarities of behavior of φ_l(r) and f_l(r) and other related to the m functions induced by the short-range potentials V(r) were studied. Further, the analytical properties of φ_l(k,r) and f_l(k,r) were studied by the momentum as well their asymptotical properties at k→∞, k→0 and r→0. Also we have studied the analytical and asymptotical properties of φ_l(k,r) and f_l(k,r) at k→∞, k→0 and r→0, as well as the spectral representation of the Green function and the completeness of the system of physical solutions of nuclear-Coulomb interactions