Published 1981
| Version v1
Journal article
Iterative solution of the Poisson equation for the Thomas-Fermi atom
Description
Application of the Thomas-Fermi atomic model for the study of dense matter is hampered by the necessity of solving a rather intractable non-linear differential equation. We give a constructive proof of existence of a solution which may be efficiently exploited for the numerical solution of the problem. We also prove the uniqueness of the solution
Abstract (Afrikaans)
Die toepassing van die Thomas-Fermi-atoommodel vir die studie van digte materie word bemoeilik deur die noodsaaklikheid om 'n lastige nie-lineere differensiaalvergelyking op te los. Ons gee 'n konstruktiewe bestaansbewys vir 'n oplossing wat op 'n doeltreffende iteratiewe oplosmetode berus. Die uniekheid van die oplossing word ook bewysAdditional details
Publishing Information
- Journal Title
- S. Afr. J. Phys.
- Journal Volume
- 4
- Journal Issue
- 1
- Series
- S. Afr. J. Phys.
- Journal Page Range
- 16-19
- ISSN
- 0379-4377
INIS
- Country of Publication
- South Africa
- Country of Input or Organization
- South Africa
- INIS RN
- 13646091
- Subject category
- S74: ATOMIC AND MOLECULAR PHYSICS;
- Descriptors DEI
- ITERATIVE METHODS; NUMERICAL SOLUTION; POISSON EQUATION; THOMAS-FERMI MODEL
- Descriptors DEC
- ATOMIC MODELS; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL MODELS