An Iterative Technique for Obtaining Solutions of a Thomas–Fermi Equation
✍ Scribed by Luning, C. D.
- Book ID
- 118201510
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1978
- Tongue
- English
- Weight
- 978 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0036-1410
- DOI
- 10.1137/0509032
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## 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
## 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