Numerical-parameterized optimized effective potential for atoms

A numerical-parameterized solution of the optimized effective potential equations is proposed. The analytic continuation method is used to solve the single-particle Schrodinger equation. This method provides an accurate solution and allows for a straightforward use of the logarithm transformation. A systematic comparison with both the numerical and the fully parameterized solution is carried out. The differences between the numerical solution and the parameterized one and the better performance of the latter are elucidated.