Compact and accurate integral-transform wave functions. I. The<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>state of the helium-like ions from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><…

The Monte Carlo Method

1949 • 5,519 citations

Quantum Mechanics of One- and Two-Electron Atoms

1957 • 4,568 citations

An efficient method for finding the minimum of a function of several variables without calculating derivatives

1964 • 4,391 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

Nuclear Constitution and the Interpretation of Fission Phenomena

1953 • 2,054 citations

On the eigenfunctions of many‐particle systems in quantum mechanics

1957 • 1,927 citations

Monte Carlo Methods

1964 • 1,873 citations

Neue Berechnung der Energie des Heliums im Grundzustande, sowie des tiefsten Terms von Ortho-Helium

1929 • 1,578 citations

Some Recent Advances in Density Matrix Theory

1960 • 1,428 citations

On the approximate calculation of multiple integrals

2015 • 1,243 citations

Quantum Theory of Many-Particle Systems. III. Extension of the Hartree-Fock Scheme to Include Degenerate Systems and Correlation Effects

1955 • 1,103 citations

Ground State of Two-Electron Atoms

1958 • 1,095 citations

�ber den Grundterm der Zweielektronenprobleme von H?, He, Li+, Be++ usw.

1930 • 777 citations

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mi /><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mi /><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mprescripts /><…

1959 • 744 citations

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mi /><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mi /><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mprescripts /><…

1962 • 691 citations

Collective Motions in Nuclei by the Method of Generator Coordinates

1957 • 657 citations

The quantum theory of atomic structure

1961 • 575 citations

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>P</mml:mi></mml:math>States of the Helium Isoelectronic Sequence up to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Z</mml:mi><mml:mo>=</mml:mo><mml:mn>10</mml:mn><mml:mn /></mml:math>

1971 • 515 citations

Applications of Number Theory to Numerical Analysis

1972 • 515 citations

MONTE CARLO METHODS FOR SOLVING MULTIVARIABLE PROBLEMS

1960 • 508 citations

Scaling problem, virial theorem, and connected relations in quantum mechanics

1959 • 502 citations

Importance of Angular Correlations between Atomic Electrons

1962 • 493 citations

�ber den Grundzustand des Heliumatoms

1928 • 488 citations

Cusp Conditions for Molecular Wavefunctions

1966 • 480 citations

Quantum Theory of Many-Particle Systems. II. Study of the Ordinary Hartree-Fock Approximation

1955 • 448 citations

Logarithmic Terms in the Wave Functions of the Ground State of Two-Electron Atoms

1966 • 407 citations

Molecular Schrödinger Equation. VIII. A New Method for the Evaluation of Multidimensional Integrals

1967 • 397 citations

Ground State of the Helium Atom

1957 • 364 citations

Electron Correlation in the Ground State of Helium

1961 • 305 citations

Superposition of Configurations and Natural Spin Orbitals. Applications to the He Problem

1959 • 305 citations

Charge Densities in Atoms

1963 • 264 citations

Correlated Orbitals for the Ground State of Heliumlike Systems

1960 • 242 citations

Radiative Corrections to the Ground-State Energy of the Helium Atom

1957 • 226 citations

Properties and Uses of Natural Orbitals

1972 • 220 citations

A method for numerical integration

1961 • 200 citations

The Normal State of Helium

1928 • 175 citations

The Helium Wave Equation

1937 • 167 citations

Zur angen�herten Berechnung mehrfacher Integrale

1962 • 163 citations

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mi /><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mi /><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mprescripts /><…

1962 • 159 citations

Ground State of the Helium Atom. II

1959 • 150 citations

Natural Expansion of Exact Wavefunctions. II. The Hydrogen-Molecule Ground State

1962 • 132 citations

The Schrödinger Two-Electron Atomic Problem

1964 • 130 citations

A simple method of treating atomic integrals containing functions of r12

1962 • 130 citations

The electron—electron cusp condition for the spherical average of the intracule matrix

1976 • 124 citations

Three approaches to electron correlation in atoms

1970 • 121 citations

The Behaviour of the First-Order Density Matrix at the Coulomb Singularities of the Schrödinger Equation

1963 • 121 citations

Electronic wave functions for atoms

1970 • 120 citations

On the basis of orbital theories

1955 • 120 citations

The polarizability of the helium atom and the lithium ion

1930 • 117 citations

Some bilinear convergence characteristics of the solutions of dissymmetric secular equations

1969 • 113 citations

The refractive index of helium

1965 • 104 citations

Ground State of the Helium Atom

1962 • 100 citations

Density matrices in the quantum theory of matter: Energy, intracules and extracules

2009 • 99 citations

Simple Correlated Wavefunctions for the Ground State of Heliumlike Atoms

1966 • 93 citations

Physical properties of many-electron atomic systems evaluated from analytical Hartree-Fock functions

1968 • 93 citations

Coulomb hole in some excited states of helium

1973 • 92 citations

Use of Asymptotically Correct Wave Function for Three-Body Rayleigh-Ritz Calculations

1969 • 89 citations

Compact and accurate integral-transform wave functions. II. The<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>…

1977 • 87 citations

Dipole Polarizabilities of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mi> </mml:mi><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow /><mml:mrow /><mml:mrow /><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><…

1966 • 85 citations

Error bounds in the Rayleigh-Ritz approximation of eigenvectors

1960 • 79 citations

Polarizability and hyperpolarizability of the helium atom

1968 • 79 citations

Coulomb hole in the ground state of two-electron atoms

1965 • 79 citations

The Helium Wave Equation

1937 • 76 citations

Electric polarizability of atoms and molecules

1957 • 74 citations

Natural Expansions of Exact Wavefunctions. III. The Helium-Atom Ground State

1963 • 71 citations

Removal of Electron—Electron Poles from Many-Electron Hamiltonians

1963 • 70 citations

A modified Monte-Carlo quadrature

1966 • 69 citations

A physical interpretation of the cusp conditions for molecular wave functions

1967 • 66 citations

Natural Orbitals

1972 • 60 citations

Logarithmic Terms in the Wave Functions of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>S</mml:mi></mml…

1967 • 57 citations

Recursive Evaluation of Some Atomic Integrals

1967 • 56 citations

Integral transform functions. A new class of approximate wave functions

1968 • 53 citations

Correlated wavefunctions, energies, and one-electron radial densities for S states of the He atom

1974 • 52 citations

Oscillator strength sums S (−3) to S (2) and C6 for the atoms He to Kr

1975 • 49 citations

The properties of the helium atom and the two-electron systems

1963 • 46 citations

On the solution of the quantum mechanical two-electron problem by direct calculation of the natural orbitals

1966 • 45 citations

A Method for the Analysis of Many-Electron Wave Functions

1963 • 42 citations

A comparison of wave functions for the normal helium atom

1937 • 41 citations

Asymptotic Properties of the Wave Function for a Bound Nonrelativistic Three-Body System

1962 • 41 citations

On Singularities in Eigenfunctions

1965 • 39 citations

Correlation and X-ray scattering. II. Atomic beryllium

1970 • 36 citations

The Dielectric Constant of Helium

1930 • 31 citations

Determination of wave functions of molecular systems by the method of moments, II

1966 • 30 citations

Electric polarizabilities of two-electron atoms by a lower-bound procedure

1972 • 29 citations

Good lattice points modulo composite numbers

1974 • 29 citations

Dynamic Polarizabilities and Refractive Indexes of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Li</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></…

1971 • 28 citations

Ritz-Hylleraas Solutions of the Ground State of Two-Electron Atoms Involving Fractional Powers

1960 • 28 citations

A new integral transform basis function

1975 • 28 citations

A Comparative Study of Atomic Variational Wave Functions

1967 • 26 citations

A table of good lattice points in three dimensions

1974 • 24 citations

Numerical techniques in matrix mechanics

1967 • 24 citations

A modified Monte-Carlo quadrature. II

1967 • 23 citations

Systematic Construction of Correlated Many-Particle Integral-Transform Trial Functions and Multicenter Molecular Orbitals

1969 • 22 citations

Upper and Lower Bounds to the Eigenvalues of Two-Electron Atoms: Proof That the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mi /><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>3</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>States of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="…

1972 • 22 citations

Exposition of atomic pair correlation functions and associated energies obtained by analysis of correlated wave functions

1974 • 21 citations

Exponential Correlation Functions for Two-Electron Atoms

1964 • 20 citations

The reduction of the multi-dimensional schrödinger equation to a one-dimensional integral equation

1971 • 18 citations

Iterated Integral-Transform Trial Functions

1971 • 17 citations

The dimensional and numerical equivalence of the space-filling-curve approach and multi-dimensional integration methods for integral-transform trial functions

1972 • 16 citations

The behaviour of the second-order density matrix at the coulomb singularities of the Schr�dinger equation

1966 • 15 citations

Correlated Orbitals for Excited States of He and H—

1965 • 14 citations

Improvement to wave functions and energy values of the ground state of helium

1975 • 13 citations

New-type correlated wavefunctions for three-body systems with Coulomb interaction

1975 • 13 citations

2³S state of helium

1968 • 13 citations

On the behaviour of the wave function for the 2³S state of the two‐electron atom in the region where both electron–nuclear distances are small

1969 • 12 citations

ψ2,0 in the Fock expansion for He 1S state wavefunctions

1975 • 12 citations

Correction Functions to Hartree-Fock Orbitals Derived from Correlated Wave Functions for He-, Li-, and Be-Like Ions

1973 • 12 citations

Nuclear models and the collective nucleus

1955 • 10 citations

Range Relaxation. III. Variationally Optimal Integral-Transform Wave Functions

1970 • 9 citations

Further Results Concerning Half-Integral Hylleraas Expansions

1963 • 8 citations

Upper and Lower Bounds to the Eigenvalues of Two-Electron Atoms. Proof that the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>3</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>States of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:…

1972 • 6 citations

Exact-Energy Self-Consistent Field

1957 • 6 citations

Nonexistence of 1sns Autoionizing States of H−

1969 • 5 citations

Natural orbitals of several excited states of the He atom

1975 • 5 citations