is shown. by comparison with experiment, that the use of explicit angular momentum coupling in Hartree-Fock solutions for rare-earth ions can lead to inaccurate 4f radial wave-functions beCaUSe of the neglect of intershell correlation effects.
On the Hartree-Fock problem
β Scribed by J.I. Musher
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 941 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
β¦ Synopsis
The Hartrec-Pock problem is i.nvcstig&ed by examining the symmetry properrics of the SC F spin-orbit&.
These can be classified ;LS closed-shell, open-sheil or general spin-orbit& accordin:: to the commutation rules satisfied by their one-electron sCF hamiltoniarrs. The effect of symmetry-brcakmg in spin, angular momentum and space-oup symmetry is considered schematically and the physical implicntions of such symmetry-breaking are discussed.
π SIMILAR VOLUMES
The Hartree-Fork limit for the ground state of the He atom is rediscussed on the basis of the generator-coordinate Hartree-Fock method and the Laplace transform. A numerical solution is implemented which leads to a value of 73 x 1O-'2 hartree below the commonly accepted limit.
A study is made of the general Hartree-Fock (GHF) method, in which the basic spin-orbitals may be mixtures of functions having (Y andp spins. The existence of the solutions to the GHF equations has been proven by Lieb and Simon, and the nature of the various types of solutions has been group theoret
A systematic procedure is proposed in order to look for non-plane-wave solutions to the Hartree-Fock equations in the thermodynamic limit. The corresponding Hartree-Fock states are seen to arise as the self-consistent eigenvectors of a special matrix, as in Roothaan's method. The attractive delta pr