Application of the phase method for calculating eigenvalues of energy

It is necessary to solve Schrödinger equation repeatedly when calculating the equation of state, photon absorption coefficients and opacity over wide range of densities and temperatures [1]. As a result the efficiency of the iteration procedure for obtaining the atomic self-consistent potentials depends mainly on efficiency of the method for solving the eigenvalue problem for Schrodinger equation. There are no principal difficulties to solve this problem [2], [3] but accumulated experience in using the phase method allowed to construct special version of the algorithm which converges after 2–3 iterations.