Geodesic
Application of the phase method for calculating eigenvalues of energy
Matematičeskoe modelirovanie, Tome 10 (1998) no. 10, pp. 64-78 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{MM_1998_10_10_a5,
     author = {A. F. Nikiforov and V. G. Novikov},
     title = {Application of the phase method for calculating eigenvalues of energy},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {64--78},
     year = {1998},
     volume = {10},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1998_10_10_a5/}
}
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A. F. Nikiforov; V. G. Novikov. Application of the phase method for calculating eigenvalues of energy. Matematičeskoe modelirovanie, Tome 10 (1998) no. 10, pp. 64-78. http://geodesic.mathdoc.fr/item/MM_1998_10_10_a5/