Calculation of relativistic correction in oscillator representation

Paper described a procedure to calculate relativistic corrections dealing with relativistic motion and spin interaction of quantum systems. The problem is solved in terms of the method of oscillator representation based on the principles of field quantum theory. On the basis of relativistic generalization of the Schroedinger equation one derived relativistic correction for the Coulomb and Cornell potentials. With regard to the relativistic correction one determined inclination of the Regge trajectory for quarkonium. One derived analytical expressions for mass mesons with regard to corrections and spin-orbital and spin-spin interactions. Paper presents numerical results for mass and wave functions of mesons with S = 1 and S = 0 spins