dorsal/arxiv
View SchemaAnalytical solution of the Thomas-Fermi equation for atoms
| Authors | M. Oulne |
|---|---|
| Categories | |
| ArXiv ID | physics/0511017 |
| URL | https://arxiv.org/abs/physics/0511017 |
| Journal | Int. Rev. Phys., Vol.4, No 6 (2010) 349-352 |
Abstract
An approximate analytical solution of the Thomas-Fermi equation for neutral atoms is obtained, using the Ritz variational method, which reproduces accurately the numerical solution, in the range $0\leq x\leq50$, and its derivative at $x=0$. The proposed solution is used to calculate the total ionization energies of heavy atoms. The obtained results are in good agreement with the Hartree-Fock ones and better than those obtained from previously proposed trial functions by other authors.
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"abstract": "An approximate analytical solution of the Thomas-Fermi equation for neutral\natoms is obtained, using the Ritz variational method, which reproduces\naccurately the numerical solution, in the range $0\\leq x\\leq50$, and its\nderivative at $x=0$. The proposed solution is used to calculate the total\nionization energies of heavy atoms. The obtained results are in good agreement\nwith the Hartree-Fock ones and better than those obtained from previously\nproposed trial functions by other authors.",
"arxiv_id": "physics/0511017",
"authors": [
"M. Oulne"
],
"categories": [
"physics.atom-ph"
],
"journal_ref": "Int. Rev. Phys., Vol.4, No 6 (2010) 349-352",
"title": "Analytical solution of the Thomas-Fermi equation for atoms",
"url": "https://arxiv.org/abs/physics/0511017"
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