Sturmian functions for nonlocal interactions |
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Authors: | Jiří Horáček Ladislav Zejda |
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Affiliation: | (1) Dept. of Theoretical Physics, Faculty of Mathematics and Physics, Charles University, V Holeovikách 2, 180 00 Praha 8, Czech Republic |
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Abstract: | The problem of calculation of Sturmian functions (positive energy Weinberg states) for nonlocal (exchange) interactions is considered. It is shown that the method of continued fractions proposed by Horáek and Sasakawa makes the calculation of Sturmian eigenfunctions and eigenvalues feasible even for complicated nonlocal interactions. As an example Sturmian functions and Sturmian eigenvalues for the low energy electron-hydrogen scattering in the static exchange approximation are calculated. In addition a very general proof of convergence of the method of continued fractions is presented.Dedicated to the memory of Professor Jozef Kvasnica. |
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