Density Matrices and Density Functionals

1. Front Matter

   Pages i-xvii

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2. A Tribute to A. John Coleman — The “Tame” Mathematician

   • P. O. Löwdin

   Pages 1-4

3. Reduced Density Matrices: 1929–1989

   • A. J. Coleman

   Pages 5-20

4. Some Aspects on the Development of the Theory of Reduced Density Matrices and the Representability Problem

   • P. O. Löwdin

   Pages 21-49

5. Representability Conditions

   • Robert Erdahl

   Pages 51-75

6. On the Diagonal N-Representability Problem

   • M. M. Mestechkin

   Pages 77-87

7. Fermion N-Representability Conditions Generated by a Decomposition of the 1-Particle Identity Operator onto Mutually Orthogonal Projection Operators

   • Hubert Grudzinski

   Pages 89-113

8. The Unitarily Invariant Decomposition of Hermitian Operators

   • Zong-Hao Zeng, Chia-Chung Sun

   Pages 115-139

9. Building Up N-Electron States with Symplectic Symmetry

   • Z. H. Zeng, C. C. Sun, A. J. Coleman

   Pages 141-165

10. Time Dependent Antisymmetrized Geminal Power Theory using a Coherent State Formulation

    • E. Deumens, B. Weiner, Y. Ohrn

    Pages 167-191

11. Griffiths Inequalities for Fermion Systems

    • J. K. Percus

    Pages 193-212

12. Entropy of Reduced Density Matrices

    • Mary Beth Ruskai

    Pages 213-229

13. A Lower Bound to the Ground State Energy of a Boson System with Fermion Source

    • M. Rosina, B. Golli, R. M. Erdahl

    Pages 231-248

14. Reduced Density Operators, Their Related von Neumann Density Operators, Close Cousins of These, and their Physical Interpretation

    • Everett G. Larson

    Pages 249-274

15. Theory and Practice of the Spin-Adapted Reduced Hamiltonians (SRH)

    • C. Valdemoro

    Pages 275-288

16. Variational Principle with Built-In Pure State N-Representability Conditions. The N-Electron Case

    • Eduardo V. Ludeña

    Pages 289-304

17. Wigner Distributions as Representations of the Density Matrix

    • Leon Cohen

    Pages 305-325

18. Inter-Relationships Between Various Representations of One-Matrices and Related Densities: A Road Map and An Example

    • Ajit J. Thakkar, Anthony C. Tanner, Vedene H. Smith Jr.

    Pages 327-337

19. Current Problems in Density Functional Theory

    • E. Zaremba

    Pages 339-357

20. The Interface Between Reduced Density Matrices and Density Functional Theory

    • John E. Harriman

    Pages 359-373

THE COLEMAN SYMPOSIUM This collection of papers is dedicated to Albert John Coleman for his enthusiastic devotion to teaching and research and his many scientific accomplishments. John was born in Toronto on May 20, 1918 and 21 years later graduated from the University of Toronto in mathematics. Along the way he teamed up with Irving Kaplansky and Nathan Mendelson to win the first William Lowell Putnam Mathematical Competition in 1938. He earned his M.A. at Princeton in 1942 and then his Ph.D. at Toronto in 1943 in relativistic quantum mechanics under the direction of Leopold Infeld. During this period he was secretary of the Student Christian Movement in Toronto. Later, in 1945, he became traveling secretary of the World's Student Christian Federation in Geneva and in this capacity visited some 100 universities in 20 countries in the next four years. He spent the 50's as a member of the faculty at the University of Toronto and for 20 years, starting in 1960, he served as Dupuis Professor of Mathematics and Head of the Department at Queen's University. Since 1983 he has been Professor Emeritus at Queen's.

• Atom
• Boson
• Schrödinger equation
• crystallography
• decomposition
• density
• development
• electron
• entropy
• geometry
• mathematics
• mechanics
• molecular solid
• relativistic quantum mechanics
• structure

• Queen’s University, Canada

  Robert Erdahl, Vadene H. Smith

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