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
Matrix formulation of the generalized Hartree-Fock methods
✍ Scribed by M. M. Mestechkin; G. E. Whyman
- Publisher
- John Wiley and Sons
- Year
- 1974
- Tongue
- English
- Weight
- 597 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
Abstract
Spin‐projected one‐particle density and spin density matrices are presented as polynomials of suitable unprojected quantities with generalized Sasaki‐Ohno coefficients. Thus an explicit form of Harriman's theorems is given. For the two‐particle spatial density matrix an expansion in direct products of powers of unprojected residual electron and spin density matrices is given. For these basic matrices of the scheme the variational spin‐extended equations are formulated.
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