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Variational solution of the Thomas-Fermi equation for compressed atoms at high temperatures

✍ Scribed by P. Csavinszky

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
143 KB
Volume
18
Category
Article
ISSN
0020-7608

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Variational principle for obtaining appr
Variational principle for obtaining approximate analytical solutions of the temperature-perturbed Thomas–Fermi equation for compressed atoms
✍ P. Csavinszky; C. E. Tarr; F. Vosman 📂 Article 📅 1980 🏛 John Wiley and Sons 🌐 English ⚖ 365 KB

## Abstract A temperature correction to the Thomas–Fermi (TF) model of a neutral compressed atom has been given by Marshak and Bethe. The aim of the present work is to point out that, by formulating a variational principle, one may obtain approximate analytical solutions of the temperature‐perturbe

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## Abstract In the present work the total energy of a Ne atom at __T__ = 0 K is calculated as a function of a spherical container radius. The calculation is based on the Thomas–Fermi (TF) equation, which is solved approximately by an equivalent variational principle. The effect of an approximate ex

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✍ P. Csavinszky 📂 Article 📅 1982 🏛 John Wiley and Sons 🌐 English ⚖ 220 KB

## Abstract To calculate atom‐atom interactions at high temperatures, one needs the electron densities of the interacting atoms. The present paper outlines an approach by which the temperature‐dependent electron densities of compressed atoms may be obtained. The approach suggested makes use of the