Accurate calculation of the solutions to the Thomas-Fermi equations
We obtain highly accurate solutions to the Thomas-Fermi equations for atoms and atoms in very strong magnetic fields. We apply the Padé-Hankel method, numerical integration, power series with Padé and Hermite-Padé approximants and Chebyshev polynomials. Both the slope at origin and the location of t...
| Authors: | , , |
|---|---|
| Format: | article |
| Status: | Published version |
| Publication Date: | 2014 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/5169 |
| Online Access: | http://hdl.handle.net/11336/5169 |
| Access Level: | Open access |
| Keyword: | Atoms Atoms in magnetic fields Thomas-Fermi theory Accurate solutions https://purl.org/becyt/ford/1.4 https://purl.org/becyt/ford/1 |
| Summary: | We obtain highly accurate solutions to the Thomas-Fermi equations for atoms and atoms in very strong magnetic fields. We apply the Padé-Hankel method, numerical integration, power series with Padé and Hermite-Padé approximants and Chebyshev polynomials. Both the slope at origin and the location of the right boundary in the magnetic-field case are given with unprecedented accuracy. |
|---|