Group theoretical approach to the configuration interaction and perturbation theory calculations for atomic and molecular systems
Data up to Jan 2025
Total Citations Per Year
Abstract
References (58)
Electron correlations in narrow energy bands
1963 • 6,300 citations
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
The Theory of Groups and Quantum Mechanics
1931 • 2,841 citations
Electron interaction in unsaturated hydrocarbons
1953 • 2,020 citations
A Semi-Empirical Theory of the Electronic Spectra and Electronic Structure of Complex Unsaturated Molecules. I.
1953 • 1,947 citations
On a Hilbert space of analytic functions and an associated integral transform part I
1961 • 1,846 citations
The Classical Groups
1947 • 1,714 citations
Methods of Molecular Quantum Mechanics
1971 • 1,655 citations
Group Theory and its Applications
1971 • 663 citations
On the Representations of the Semisimple Lie Groups. II
1963 • 440 citations
Studies in Configuration Interaction: The First-Row Diatomic Hydrides
1969 • 395 citations
Table of molecular integrals
1955 • 373 citations
The Calculation of Matrix Elements for Lewis Electronic Structures of Molecules
1933 • 330 citations
Group Theory and the Many Body Problem
1968 • 291 citations
Configuration Interaction Studies of Ground and Excited States of Polyatomic Molecules. I. The CI Formulation and Studies of Formaldehyde
1969 • 284 citations
Recent Progress Toward a Theory of Tensor Operators in the Unitary Groups
1970 • 243 citations
The iterative calculation of several of the lowest or highest eigenvalues and corresponding eigenvectors of very large symmetric matrices
1973 • 199 citations
Mathematical Aspects of the Quantum Theory of Fields
1954 • 185 citations
Algorithm for Diagonalization of Large Matrices
1965 • 178 citations
Extension of the Dirac Vector Model to Include Several Configurations
1934 • 170 citations
On the Representations of the Semisimple Lie Groups. I. The Explicit Construction of Invariants for the Unimodular Unitary Group in N Dimensions
1963 • 169 citations
Operators that Lower or Raise the Irreducible Vector Spaces of U n−1 Contained in an Irreducible Vector Space of Un
1965 • 168 citations
Bases for the Irreducible Representations of the Unitary Groups and Some Applications
1963 • 166 citations
Ab initio configuration interaction studies of the π-electron states of benzene
1974 • 163 citations
Spin-Free Quantum Chemistry
1964 • 161 citations
Group theory and second quantization for nonorthogonal orbitals
1971 • 159 citations
Ab Initio Calculations on 62 Low-Lying States of the O2 Molecule
1968 • 142 citations
Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3)
1974 • 139 citations
Studies in Configuration Interaction. I. Matrix Elements between Spin-Coupled Functions
1966 • 134 citations
Electronic Wave Functions for Atoms. I. Ground State of Be
1968 • 130 citations
Molecular Orbital Studies of Diatomic Molecules. I. Method of Computation for Single Configurations of Heteronuclear Systems
1960 • 129 citations
A numerical approach to nuclear shell-model calculations
1972 • 118 citations
Canonical Definition of Wigner Coefficients in Un
1967 • 116 citations
The Solution of Problems Involving Permutation Degeneracy
1934 • 111 citations
On the Representations of the Semisimple Lie Groups. III. The Explicit Conjugation Operation for SUn
1964 • 111 citations
Combined SCF and CI Calculations for the Low-Lying Rydberg and Valence Excited States of Ethylene
1971 • 110 citations
Low-lying .pi.-electron states of trans-butadiene
1973 • 94 citations
Alternative Basis for the Theory of Complex Spectra
1973 • 90 citations
Convergence studies in configuration interaction calculations
1968 • 83 citations
Application of Orthogonal and Unitary Group Methods to the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>-Body Problem
1972 • 80 citations
Open-Shell Orthogonal Molecular Orbital Theory
1967 • 78 citations
Molecular Orbital Theory
1967 • 72 citations
Multiconfiguration wavefuntions for the lowest (ππ*) excited states of ethylene
1972 • 72 citations
Modification of Nesbet's algorithm for the iterative evaluation of eigenvalues and eigenvectors of large matrices
1970 • 69 citations
Perturbation Methods in the Quantum Mechanics of n-Electron Systems
1951 • 66 citations
On the Representations of the Semisimple Lie Groups. V. Some Explicit Wigner Operators for SU3
1965 • 64 citations
The unitary group formulation of the N- particle problem
2009 • 57 citations
Expectation Values of Many-Fermion Spin Eigenstates
1971 • 57 citations
Comparison of slater and contracted gaussian basis sets in SCF and CI calculations on H2O
1970 • 50 citations
Variational buildup of nuclear shell model bases
1969 • 47 citations
Large-scale configuration interaction calculations on the π-electron states of benzene
1973 • 42 citations
Projection of Exact Spin Eigenfunctions
1969 • 37 citations
Implementing the SAAP Formalism. I. Serber-Type Spin Eigenfunctions by Direct Diagonalization
1972 • 33 citations
Shell-Model and protected Hartree-Fock calculations for 24Mg, 28Si and 32S
1972 • 28 citations
Table of Sanibel (spin projection) coefficients
1966 • 22 citations
On the projection of many‐electron spin eigenstates
1969 • 21 citations
Acceleration of the convergence in Nesbet's algorithm for eigenvalues and eigenvectors of large matrices
1972 • 15 citations
Electron g3 Configurations in LS Coupling
1972 • 15 citations