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Repulsive electronelectron interaction and nuclear charge screening: Ground state of twoelectron atoms,Used
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The development of simple analytical method(s) for solving the firstorder wave functions and the secondorder energy for twoelectron atoms has remained a major challenge of theoretical atomic physics. The failure to overcome this challenge has motivated progress in the variationalperturbation method. However, the main drawback of the method is that it fails to directly account for the mechanisms which cause nuclear charge screening usually introduced as one of the variation parameters. In the book, we have developed a simple analytical solution to the Schrdinger equation for twoelectron atoms based on a model that formulates the role of the repulsive electronelectron interaction term in nuclear charge screening. We have obtained an analytical expression of the firstorder perturbed wave functions for twoelectron atoms in the model and applied it to calculate secondorder energy. The general analytic structure of the wave functions is an important guideline in the choice of the basis functions for use in the variational calculations.
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