Overview

Reduced density matrices, upon their initial introduction, promised great simplifications of quantum-chemical approaches. Although they did not immediately meet the high expectations held of them, recent work has placed them at the center of new electron correlation functions. This text presents the developments that are giving new importance to reduced density matrices. The volume stresses not only their applications, but also the relevance of many-electron densities. Leading experts in the field have put together a book which covers topics ranging from fundamental theorems describing mathematical structures of many-electron densities and reduced density matrices, to new electronic structure methods that open an avenue to highly accurate atomic and molecular simulations. The book should be of interest to quantum and theoretical chemists, solid state theorists, chemical physicists and physical chemists, and finally mathematical, statistical, and computational chemists. In addition to being a valuable resource for researchers, the book should be suitable as a textbook in special topic courses at the advanced graduate level.

Full Product Details

Author:   Jerzy Cioslowski
Publisher:   Springer Science+Business Media
Imprint:   Kluwer Academic/Plenum Publishers
Edition:   2000 ed.
Volume:   v. 1
Dimensions:   Width: 17.80cm , Height: 1.90cm , Length: 25.40cm
Weight:   1.820kg
ISBN:  

9780306464546

ISBN 10:   0306464543
Pages:   301
Publication Date:   30 September 2000
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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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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