QUANTUM AND CORRELATION CORRECTIONS TO THE THOMAS–FERMI POTENTIAL
- 1 November 1964
- journal article
- Published by Canadian Science Publishing in Canadian Journal of Physics
- Vol. 42 (11), 2332-2344
- https://doi.org/10.1139/p64-209
Abstract
The paper studies the correction to the Thomas–Fermi potential arising from the exchange, inhomogeneity, and correlation effects. An alternative derivation of the Baraff equation is given, based on simple physical considerations. Starting from the Baraff equation and making use of the simple analytical formula of Tietz for the Thomas–Fermi potential, analytical expressions for the correction to the Thomas–Fermi potential are given (a) within the radius of the atom applying the Gellmann–Brueckner high-density formula for the correlation energy of an electron gas and (b) outside this range wherein the correlation energy can be approximated by the Wigner low-density formula. It is found that the main contribution to the solution of the Baraff equation arises from the inhomogeneity, screening, and the exchange terms.Keywords
This publication has 3 references indexed in Scilit:
- Correlation and Quantum Corrections in the Thomas-Fermi Model of the AtomPhysical Review B, 1961
- The correlated Hartree-Fock equations and the generalised density matricesProceedings of the Indian Academy of Sciences - Section A, 1961
- Quantum Theory of Many-Particle Systems. I. Physical Interpretations by Means of Density Matrices, Natural Spin-Orbitals, and Convergence Problems in the Method of Configurational InteractionPhysical Review B, 1955