The Thomas-Fermi approximation in quantum mechanics
Data up to Jan 2025
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