An analytic solution to the Thomas–Fermi equation

Autor:	Bernard J. Laurenzi
Rok vydání:	1990
Předmět:	Work (thermodynamics) Nonlinear system Statistical and Nonlinear Physics Perturbation theory (quantum mechanics) Boundary value problem Function (mathematics) Thomas–Fermi model Analytic solution Mathematical Physics Mathematics Fermi Gamma-ray Space Telescope Mathematical physics
Zdroj:	Journal of Mathematical Physics. 31:2535-2537
ISSN:	1089-7658 0022-2488
DOI:	10.1063/1.528998
Popis:	A perturbative procedure due to Bender et al. (here referred to as the BMPS procedure) [J. Math. Phys. 30, 1447 (1989)] and useful in solving difficult nonlinear problems, has been used here to solve the Thomas–Fermi (T–F) equation. The present work attempts to balance the ease of the ensuing analysis with the use of an analytic, zero‐order function that already contains a good deal of the nonlinearity of the T–F equation. The initial slope of the T–F potential is computed with 0.35% error in a second‐order application of the theory.
Databáze:	OpenAIRE
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