Spin-Free Self-Consistent-Field Theory
- 5 March 1968
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 167 (1), 139-147
- https://doi.org/10.1103/PhysRev.167.139
Abstract
Hartree-Fock (HF) equations are derived for an -electron system with a spin-free Hamiltonian. All eigenstates of are considered for both open- and closed-shell states. States which possess two or more spin-coupling schemes (structures) are treated by mixed-structure kets. A procedure to optimize the mixture of structures is incorporated into the HF equations. A certain mixed-structure ket called the immanant is defined and used to derive the HF equations for a spin-projected Slater determinant. The conventional equations for single determinants and doubly occupied orbitals are derived as special cases. The spin-free method is used throughout: Permutational symmetry of a spin-free ket establishes the corresponding spin eigenvalue.
Keywords
This publication has 12 references indexed in Scilit:
- Spin-free quantum chemistry. V. Spin densityThe Journal of Physical Chemistry, 1968
- Improved Quantum Theory of Many-Electron Systems. I. Construction of Eigenfunctions ofWhich Satisfy Pauli's PrinciplePhysical Review B, 1967
- Permutational Symmetry of Reduced Density MatricesJournal of Mathematical Physics, 1967
- Spin-Free Quantum Chemistry.1a III. Bond Functions and the Pauling RulesThe Journal of Physical Chemistry, 1966
- Permutation-Algebraic Formulation of Spin-Free Transition Density MatricesJournal of Mathematical Physics, 1966
- Spin-Component Analysis of Single-Determinant WavefunctionsJournal of Mathematical Physics, 1963
- The use of Gaussian (exponential quadratic) wave functions in molecular problems - I. General formulae for the evaluation of integralsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1960
- Self-Consistent Field Theory for Open Shells of Electronic SystemsReviews of Modern Physics, 1960
- Quantum Theory of Many-Particle Systems. III. Extension of the Hartree-Fock Scheme to Include Degenerate Systems and Correlation EffectsPhysical Review B, 1955
- New Developments in Molecular Orbital TheoryReviews of Modern Physics, 1951