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The Thomas-Fermi approximation in quantum mechanics

Data up to Jan 2025

Published1957
Citations455
References116

Total Citations Per Year

Abstract

References (116)

New Developments in Molecular Orbital Theory

1951 • 5,347 citations

A Simplification of the Hartree-Fock Method

1951 • 4,355 citations

Forces in Molecules

1939 • 3,570 citations

Deformation Potentials and Mobilities in Non-Polar Crystals

1950 • 3,260 citations

Note on Exchange Phenomena in the Thomas Atom

1930 • 3,092 citations

The calculation of atomic fields

1927 • 2,333 citations

Zur Theorie der Kernmassen

1935 • 2,066 citations

The Theory of the Properties of Metals and Alloys

1933 • 1,629 citations

Eine statistische Methode zur Bestimmung einiger Eigenschaften des Atoms und ihre Anwendung auf die Theorie des periodischen Systems der Elemente

1928 • 1,280 citations

Quantum theory of cohesive properties of solids

1956 • 1,199 citations

On the Possibility of a Metallic Modification of Hydrogen

1935 • 1,052 citations

XIV. The distribution of electrons round impurities in monovalent metals

1952 • 1,021 citations

On the Connection Formulas and the Solutions of the Wave Equation

1937 • 948 citations

Equations of State of Elements Based on the Generalized Fermi-Thomas Theory

1949 • 776 citations

Electrical Properties of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>-Type Germanium

1954 • 738 citations

Equation of State of Metals from Shock Wave Measurements

1955 • 557 citations

Bemerkung zur Elektronentheorie des Ferromagnetismus und der elektrischen Leitf�higkeit

1929 • 531 citations

Atomic Energy Levels for the Thomas-Fermi and Thomas-Fermi-Dirac Potential

1955 • 496 citations

The computation of Fermi-Dirac functions

1938 • 435 citations

XCIV. Scattering of electrons and holes by charged donors and acceptors in semiconductors

1955 • 429 citations

The Numerical Determination of Characteristic Numbers

1930 • 370 citations

The Electrical Resistance of Dilute Solid Solutions

1936 • 267 citations

Effect of Screening on Solute Diffusion in Metals

1954 • 251 citations

LXXXII. The binding energy of the Thomas-Fermi Atom

1952 • 231 citations

Rare-Earth and Transuranic Elements

1941 • 218 citations

On the Dislocation Theory of Plastic Deformation

1941 • 179 citations

Asymptotische Integration der Differentialgleichung des Thomas-Fermischen Atoms

1932 • 173 citations

The Linear Momenta of Electrons in Atoms and in Solid Bodies as Revealed by X-Ray Scattering

1933 • 171 citations

The Electronic Structure of Diamond

1935 • 166 citations

The Thomas-Fermi Method for Metals

1935 • 163 citations

The dipole moment of the C—H bond

1942 • 162 citations

Group Theory and Crystal Lattices

1954 • 141 citations

The Theoretical Constitution of Metallic Lithium

1935 • 134 citations

Hartree Computation of the Internal Diamagnetic Field for Atoms

1950 • 124 citations

The propagation of electrons in a strained metallic lattice

1953 • 122 citations

Accurate Value of the Initial Slope of the Ordinary TF Function

1955 • 120 citations

Impurity Scattering in Semiconductors

1956 • 111 citations

Diffusion of Cadmium, Indium, and Tin in Single Crystals of Silver

1954 • 111 citations

The Application of the Fermi-Thomas Statistical Model to the Calculation of Potential Distribution in Positive Ions

1930 • 106 citations

A Note on Atomic Binding Energies

1951 • 105 citations

Compressions and Polymorphic Transitions of Seventeen Elements to 100,000 kg/<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>

1941 • 105 citations

Momenta in Atoms using the Thomas-Fermi Method

1950 • 97 citations

On the internal constitution of the earth

1946 • 93 citations

The Relativistic Thomas-Fermi Atom

1932 • 92 citations

The total energy of binding of a heavy atom

1927 • 85 citations

The relation between the Wentzel-Kramers-Brillouin and the Thomas-Fermi approximations

1956 • 79 citations

A self-consistent field for methane and its applications

1941 • 76 citations

Use of the Statistical Field Approximation in Molecular Physics

1955 • 75 citations

Perturbation Methods in the Quantum Mechanics of n-Electron Systems

1951 • 66 citations

The Theory of the Change in the Conductivity of Metals Produced by Cold Work

1950 • 65 citations

Angular Momentum Distributions in the Thomas-Fermi Model

1952 • 63 citations

Berechnung der Elektronenverteilung in einer zweiatomigen Molekel nach der Methode von Thomas und Fermi

1932 • 60 citations

The Generalized Thomas-Fermi Method as Applied to Stars.

1940 • 59 citations

The Ionization of Hydrogen in Metals

1950 • 54 citations

Quantum-Theoretical Densities of Solids at Extreme Compression

1951 • 54 citations

Erweiterung der statistischen Theorie des Atoms

1943 • 53 citations

The polarity of the C–H bond

1948 • 52 citations

Molecular orbital wave functions for methane and silane

1956 • 50 citations

Conductivity of Cold-Worked Metals

1951 • 49 citations

XXIV. The thermodynamic functions for a Fermi-Dirac gas

1939 • 48 citations

Wave Mechanical Treatment of the Fermi Gas

1955 • 47 citations

A Note on Local Momentum in Wave Mechanics

1931 • 47 citations

Solutions of the Fermi-Thomas-Dirac Equation

1951 • 47 citations

X-ray scattering by `neon-like' molecules

1956 • 43 citations

Interaction of Conduction Electrons and Nuclear Magnetic Moments in Metallic Lithium

1954 • 43 citations

LXXXVI. Fields around impurity atoms in metals

1955 • 43 citations

Berechnung der Elektronenterme der Stickstoffmolekel

1934 • 43 citations

An LCAO MO Self-Consistent Field Calculation of the Ground State of H2O

1953 • 43 citations

On the Surface Free Energy of Certain Metals

1949 • 40 citations

The densities of compounds at high pressures and the state of the Earth's interior

1954 • 40 citations

The Solution of the Schrödinger Equation for an Approximate Atomic Field

1951 • 39 citations

The Theory of the Thomas-Fermi Electron Density

1953 • 38 citations

On the Validity of the Weizs cker Inhomogeneity Correction Term

1955 • 37 citations

Molecular force fields. Part XII.—Force constant relationships in the non-metallic hydrides

1950 • 35 citations

Correlation between Frequency Factor and Activation Energy for Solute Diffusion

1956 • 33 citations

Messung der Form und Breite der Comptonlinie für die Gase Ne, O2, N2 und für die festen Stoffe Li, C und NaF

1936 • 32 citations

Zur relativistischen Behandlung des Fermiatoms

1933 • 30 citations

On the Compositions and Structures of the Planets.

1950 • 30 citations

Theoretische Berechnung der form und Breite der Compton-Linie

1947 • 29 citations

ON DENSITY AND COMPRESSIBILITY AT PRESSURES UP TO THIRTY MILLION ATMOSPHERES

1952 • 26 citations

Theoretical Study of Residual Resistance of Binary Alloys containing Foreign Atoms in small Concentration

1955 • 25 citations

Momentum Distribution of Electrons in Solids II: Some General Results with an Application to Metallic Lithium

1956 • 25 citations

Thermodynamic Functions on the Generalized Fermi-Thomas Theory

1951 • 23 citations

Conductivity of Cold-Worked Metals

1952 • 22 citations

Theoretical determination of the electron distribution in benzene by the Thomas–Fermi and the molecular-orbital methods

1952 • 22 citations

Entropic Equations of State and Their Application to Shock Wave Phenomena in Solids

1955 • 20 citations

The Effect of a Potential Gradient on the Density of a Degenerate Fermi Gas

1955 • 20 citations

Eine statistische Berechnung derM-R�ntgenterme

1928 • 20 citations

Approximate solutions of the Thomas-Fermi equation for atoms and molecules

1954 • 19 citations

Application of the Fermi-Thomas Model in Computing the Dipole Moment of Iodine Chloride

1953 • 19 citations

The Planets and the White Dwarfs

1950 • 19 citations

Extended Thomas-Fermi Methods

1954 • 19 citations

The distribution of electrons in a metal

1928 • 18 citations

Calculations on the Band Structure of Silicon

1956 • 17 citations

Effect of Screening on Solute Diffusion

1955 • 17 citations

Solutions of the Temperature-Perturbed Thomas-Fermi Equation

1955 • 17 citations

Relativistic Thomas-Fermi Atom Model

1954 • 16 citations

The Internal Constitution of the Planets

1936 • 15 citations

Thomas-Fermi-Dirac Equation for not Completely Degenerate Electron Gases

1949 • 15 citations

Systematization of the Approximate Solutions of the Thomas-Fermi Equation

1955 • 13 citations

XII. A variation principle for electronic wave functions in crystals

1954 • 13 citations

Zur wellenmechanischen Herleitung des statistischen Atommodells

1948 • 12 citations

The effect of a magnetic field on relative gravity determinations with invar pendulums

1933 • 12 citations

Struktur des Phasenraumes und ein Zusammenhang zwischen Bahndrehimpulsverteilung und Dichteverteilung der Nukieonen im Atomkern

1955 • 12 citations

An Averaged Field Calculation of the Polarity of the Carbon-Hydrogen Bond

1951 • 12 citations

On an Application of the Fermi-Thomas Method to Molecules

1953 • 11 citations

An Analytical Method for the Approximate Determination of the Eigenfunctions and Energies of Electrons in Atoms

1952 • 11 citations

A Calculation of the Diamagnetic and Paramagnetic Susceptibility of N2 by the Statistical Method

1953 • 10 citations

Statistical Atom with Angular Momentum

1954 • 9 citations

Approximate solutions of the Thomas-Fermi equation for molecules. II

1954 • 9 citations

Equation of State of Hydrogen, Helium, and Russell Mixture at High Temperatures and Pressures.

1950 • 9 citations

Asymmetry of Inner Electron Distributions in Homonuclear Diatomic Molecules

1950 • 8 citations

Statistical Method and Molecular Binding

1956 • 5 citations

On the Influence of the Packing on the Atomformfactor Based on the Thomas-Fermi Theory

1953 • 3 citations

The solution of the Schrödinger equation for an approximate atomic field

1956 • 3 citations

On the Internal Constitution of the Planets

1947 • 3 citations

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