Correction to kinetic energy density using exactly solvable model

Autor:	Sergeev, Alexey, Jovanovic, Raka, Kais, Sabre, Alharbi, Fahhad H
Rok vydání:	2015
Předmět:	Quantum Physics Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	An accurate non-gradient-expansion based correction to Thomas--Fermi is developed using solvable model. The used model is a system of $N$ non-interacting electrons moving independently in the Coulomb field of the nuclear charge. The presented correction is applicable for atoms and should be extendable beyond that. The method exploits the fact that the difference between the Thomas--Fermi approximation and the non-interacting kinetic energy is comparable to the difference between the same values inside the proposed solvable model. The numerical experiments show that by adding this correction factor, the precision of Thomas--Fermi approximation is enhanced by an order of magnitude. Comment: 13 pages, 3 figures, 1 table
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1506.01131 Zobrazit plný text záznamu View this record from Arxiv