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Enhancement Factors for Electrons in Solids for Some Simple Cases

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Stachowiak H., Boroński E., Banach G.
Acta Physica Polonica A
|
2001
|
vol. 99
|
issue 3-4
503-513
EN
The approach to e^+-e^- interaction in jellium proposed by Gondzik and Stachowiak proved to be simple numerically and leading to reasonable results. This is why it seemed to be particularly suited for generalizations to real solids, a problem that in spite of more than thirty years of research in this direction did not get yet a satisfactory solution. An obstacle up to now was the necessity to solve integro-differential equations in two dimensions. After overcoming this difficulty we were able to compute e^+-e^- enhancement for core and valence electrons in lithium and for core electrons in other two-electron core elements. Properties of the electronic cloud screening the positron are investigated for different coordinates of this particle. The results are compared to such simplifying guesses concerning this problem as the local density, the generalized gradient and the weighted density approximations.
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