Structure and Symmetry Properties of Correlation Functions in the Sinanoğlu Nonclosed-Shell Many-Electron Theory
- 1 September 1971
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 55 (5), 2507-2513
- https://doi.org/10.1063/1.1676439
Abstract
The general nonclosed-shell many-electron theory of Sinanoğlu is analyzed to show the structure of the correlation functions which arise. A particular representation of these functions as projections from the exact many electron wavefunction is developed. The origin of the three distinct types of correlation effects—internal, semi-internal, and all external—present in open shell states is discussed. The representation of the correlation functions as projections is employed to examine their transformation properties under the operations of the symmetry group of the Hamiltonian.Keywords
This publication has 24 references indexed in Scilit:
- Theory of Atomic Structure Including Electron Correlation. III. Calculations of Multiplet Oscillator Strengths and Comparisons with Experiments for CII, NI, NII, NIII, OII, OIII, OIV, FII, NeII, and NaIIIPhysical Review B, 1969
- Theory of Atomic Structure Including Electron Correlation. I. Three Kinds of Correlation in Ground and Excited ConfigurationsPhysical Review B, 1969
- Electron Correlation in Atoms and MoleculesAdvances in Chemical Physics, 1969
- Theory of Atomic Structure Including Electron CorrelationPhysical Review Letters, 1968
- Cluster Expansions in Many-Fermion Theory. I. ``Factor-Cluster'' FormalismsJournal of Mathematical Physics, 1968
- Symmetry Properties of One- and Two-Electron Correlation Functions in the Many-Electron Theory of Atoms and MoleculesThe Journal of Chemical Physics, 1967
- Analytic self-consistent field functions for the configurations 1s22s2pkProceedings of the Physical Society, 1964
- Accurate Analytical Self-Consistent Field Functions for Atoms. III. TheStates of Nitrogen and Oxygen and Their IonsPhysical Review B, 1963
- A Method for the Analysis of Many-Electron Wave FunctionsReviews of Modern Physics, 1963
- Theory of electron correlation in atoms and moleculesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1961