Quantum and relativistic effects for two particle systems with the cornell potential

A numerical method for bound state equations with the Cornell potential in momentum space is represented. A new quadrature formula was obtained. The formula can be used for solving integral equations and for numerical integral computations as well. Some effects for two particle quantum systems with the Cornell potential were observed. For the case of non-relativistic Schrodinger equation with the Cornell potential the exploration of wave functions' behavior near the critical value of the Coulomb potential parameter was provided. A curve that characterizes the critical value dependence from the linear part parameter of potential was plotted.