Table of Contents

I. Properties of Reduced Density Matrices.- 1. RDMs: How Did We Get Here?.- 2. Some Theorems on Uniqueness and Reconstruction of Higher-Order Density Matrices.- 3. Cumulant Expansions of Reduced Densities, Reduced Density Matrices, and Green’s Functions.- 4. On Calculating Approximate and Exact Density Matrices.- II. The Contracted Schr?dinger Equation.- 5. Density Equation Theory in Chemical Physics.- 6. Critical Questions Concerning Iterative Solution of the Contracted Schrödinger Equation.- 7. Cumulants and the Contracted Schrödinger Equation.- III. Density Matrix Functional Theory.- 8. Natural Orbital Functional Theory.- 9. The Pair Density in Approximate Density Functional Theory: The Hidden Agent.- 10. Functional N-representability in Density Matrix and Density Functional Theory: An Illustration for Hooke’s Atom.- IV. Electron Intracule and Extracule Densities.- 11. Intracule and Extracule Densities: Historical Perspectives and Future Prospects.- 12. Topology of Electron Correlation.- 13. Electron-Pair Densities of Atoms.

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