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Construction of Approximately<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>-Representable Density Matrices

Data up to Jan 2025

Published1970
Citations26
References32

Total Citations Per Year

Abstract

References (32)

Quantum Theory of Many-Particle Systems. I. Physical Interpretations by Means of Density Matrices, Natural Spin-Orbitals, and Convergence Problems in the Method of Configurational Interaction

1955 • 3,424 citations

Structure of Fermion Density Matrices

1963 • 1,434 citations

Some Recent Advances in Density Matrix Theory

1960 • 1,428 citations

Reduction of the N-Particle Variational Problem

1964 • 462 citations

The molecular orbital theory of chemical valency XVI. A theory of paired-electrons in polyatomic molecules

1953 • 434 citations

The density matrix in many-electron quantum mechanics II. Separation of space and spin variables; spin coupling problems

1961 • 207 citations

n-Representability Problem for Reduced Density Matrices

1967 • 193 citations

Electron Correlation

1955 • 154 citations

Reduced Density Matrices of Atoms and Molecules. II. On the N-Representability Problem

1967 • 107 citations

Reduced Density Matrices of Atoms and Molecules. I. The 2 Matrix of Double-Occupancy, Configuration-Interaction Wavefunctions for Singlet States

1967 • 107 citations

Ableitung der Bindungsenergie vonN-Teilchen-Systemen aus 2-Teilchen-Dichtematrizen

1959 • 103 citations

Linear Inequalities for Density Matrices

1969 • 79 citations

Symmetry properties of natural orbitals and geminals I. Construction of spin‐ and symmetry‐adapted functions

1968 • 78 citations

Properties of Fermion Density Matrices

1963 • 62 citations

Über die Symmetrie-Eigenschaften der reduzierten Dichtematrizen und der natürlichen Spin-Orbitale und Spin-Geminale (der natürlichen Ein- und Zwei-Elektronen-Funktionen)

1963 • 61 citations

Variational Approach to the Many-Body Problem

1958 • 39 citations

Some Properties of First Order Density Matrices with Special Application to Many-Electron Atoms

1960 • 39 citations

Bopp's approximation to the energy of anN-electron system

1965 • 36 citations

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>-Representability Problem: Conditions on Geminals

1969 • 32 citations

N-Representability Problem for Fermion Density Matrices. I. The Second-Order Density Matrix with N =3

1965 • 31 citations

Combinatorial Approach to the N-Representability of P-Density Matrices

1969 • 29 citations

Lower Bounds to the Ground-State Energy of Systems Containing Identical Particles

1969 • 29 citations

Discussion on Natural Expansions and Properties of the Chemical Bond

1963 • 19 citations

Spin Dependence of the First-Order Transition Density Matrix

1961 • 17 citations

Angular Dependence of the First-Order Transition Density and Spin Density for Many-Electron Atoms

1962 • 16 citations

Degeneracy of Eigenvalues of Reduced Density Matrices and Time-Reversal Invariance for Electron Systems

1964 • 14 citations

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>-Representability Problem for an Odd Number of Fermions

1968 • 12 citations

Antisymmetrization of Geminal Wave Functions. III. Calculations of the Density Matrix and Energy of a Three-Electron Atom

1968 • 10 citations

Discussion on "Structure of Fermion Density Matrices"

1963 • 10 citations

Angular Symmetry of the 2 - Matrix

1968 • 7 citations

N Representability of Fermion Density Matrices

1967 • 6 citations

A relation between the angular moments of natural orbitals and natural geminals

1969 • 4 citations

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