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An investigation of the reliability of the Galerkin-Petrov method with a special study of the helium atom ground state |
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| Authors: | Karol Jankowski Andrzej Rutkowski |
| Institution: | (1) Institute of Physics, Nicholas Copernicus University, ul. Grudzidzka 5, 87-100 Toru , Poland;(2) Devision of Physics, Higher Pedagogical School, ul. Zo nierska 14, 10-561 Olsztyn, Poland |
| Abstract: | A convergence characterization of the Galerkin-Petrov method by means of quantities characterizing pairs of subspaces is presented. The usefulness of our approach for setting up reliable computational schemes is demonstrated for the He atom ground state. Several methods of constructing pairs of subspaces for use in quantum chemistry are suggested. |
| Keywords: | Bivariational procedures Method of moments reliability and convergence characterization of |
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