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Part I 1
N-Representability A. John Coleman 3
Historical Introduction Mitja Rosina 11
Part II 19
Variational Two-Electron Reduced-Density-Matrix Theory David A. Mazziotti 21
The Lower Bound Method for Density Matrices and Semidefinite Programming Robert M. Erdahl 61
The T1 and T2 Representability Conditions Bastiaan J. Braams Jerome K. Percus Zhengji Zhao 93
Semidefinite Programming: Formulations and Primal-Dual Interior-Point Methods Mituhiro Fukuda Maho Nakata Makoto Yamashita 103
Part III 119
Theory and Methodology of the Contracted Schrodinger Equation C. Valdemoro 121
Contracted Schrodinger Equation David A. Mazziotti 165
Purification of Correlated Reduced Density Matrices: Review and Applications D. R. Alcoba 205
Cumulants, Extensivity, and the Connected Formulation of the Contracted Schrodinger Equation John M. Herbert John E. Harriman 261
Generalized Normal Ordering, Irreducible Brillouin Conditions, and Contracted Schrodinger Equations Werner Kutzelnigg Debashis Mukherjee 293
Anti-Hermitian Formulation of the Contracted Schrodinger Theory David A. Mazziotti 331
Canonical Transformation Theory for Dynamic Correlations in Multireference Problems Garnet Kin-Lic Chan Takeshi Yanai 343
Part IV 385
Natural Orbital Functional Theory Mario Piris 387
Geminal Functional Theory B. C. Rinderspacher 429
Linear Inequalities for Diagonal Elements of Density Matrices Paul W. Ayers Ernest R. Davidson 443
Part V 485
Parameterization of the 2-RDM A. John Coleman 487
Entanglement, Electron Correlation, and Density Matrices Sabre Kais 493
Author Index 537
Subject Index 551
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