Analytical solution of the Thomas-Fermi equation for atoms
M. Oulne
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≤ x≤50, 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.
Create a lesson
Related papers
Influence of Many-Body Dipole-Dipole Interactions on Excitation Transfer in a Dense Gas
A. A. Bobrov, S. A. Saakyan, B. B. Zelener et al.
Beyond-EUV spectrum of highly-charged gadolinium
M. L. Reitsma, J. Sheil, O. O. Versolato et al.
Measuring the Sr+ 5s1/2 Landé g-factor Using Singlet-Triplet Oscillations in a Circular Rydberg State of Strontium
Baptiste Muraz, Mathis Pepin, Corentin Guimard et al.
Robust watt-level continuous-wave deep-ultraviolet lasers near 230 nm
J. Cai, M. Stoepper, P. Agarwal et al.
High-density Optical Quantum Sensors with Pulsed Probe Read-out for Correlated Spin-Noise Reduction
Igor Savukov, Young Jin Kim
Measurement of the O- Photodetachment cross-section in the electrostatic storage ring FLSR
Oliver Forstner, Thorben Niemeyer, Andrey I. Bondarev et al.