Journal ArticleDOI
The Thomas-Fermi approximation in quantum mechanics
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The Thomas-Fermi approximation in quantum mechanics has been studied extensively in the literature as mentioned in this paper, including in the context of quantum mechanics, but without the application of quantum computers.Abstract:
(1957). The Thomas-Fermi approximation in quantum mechanics. Advances in Physics: Vol. 6, No. 21, pp. 1-101.read more
Citations
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The density functional formalism, its applications and prospects
Robert O. Jones,Olle Gunnarsson +1 more
TL;DR: In this paper, the authors survey the local density functional formalism and some of its applications and discuss the reasons for the successes and failures of the local-density approximation and some modifications.
Journal ArticleDOI
Thomas-fermi and related theories of atoms and molecules
TL;DR: In this paper, a summary of what is know rigorously about Thomas-Fermi (TF) theory with and without the Dirac and von Weizsacker corrections is given.
Book ChapterDOI
The Elastic Constants of Crystals
TL;DR: In this paper, the elastic constants of the isotropic medium have been studied and a tabulation of elastic constants for such specimens is provided, not only for itself, but also because the data can be correlated with other physical measurements and thereby provide possible insight into the nature of the atomic forces in solid matter.
Journal ArticleDOI
The Thomas-Fermi theory of atoms, molecules and solids
Elliott H. Lieb,Barry Simon +1 more
TL;DR: In this paper, the authors place the Thomas-Fermi model of the quantum theory of atoms, molecules, and solids on a firm mathematical footing and show that the quantum mechanical energy is asymptotic to the Thomas Fermi energy.
Book ChapterDOI
Quadrupole Effects in Nuclear Magnetic Resonance Studies of Solids
Morrel H. Cohen,F. Reif +1 more
TL;DR: The field of electric quadrupole interactions in nuclear magnetic resonance can be divided roughly into two areas according to the relative magnitude of the nuclear quadrupoles interactions as discussed by the authors, which can be classified into two categories according to their relative importance.
References
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Journal ArticleDOI
A Simplification of the Hartree-Fock Method
TL;DR: In this article, the Hartree-Fock equations can be regarded as ordinary Schrodinger equations for the motion of electrons, each electron moving in a slightly different potential field, which is computed by electrostatics from all the charges of the system, positive and negative, corrected by the removal of an exchange charge, equal in magnitude to one electron, surrounding the electron whose motion is being investigated.
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Forces in molecules
TL;DR: In this article, it was shown that the force on a nucleus in an atomic system is just the classical electrostatic force that would be exerted on this nucleus by other nuclei and by the electrons' charge distribution.
Journal ArticleDOI
Note on Exchange Phenomena in the Thomas Atom
TL;DR: In this paper, the electrons are regarded as forming a perfect gas satisfying the Fermi statistics and occupying the region of phase space of lowest energy, with two opposite spins in each volume (2πh)3, and the remainder is assumed to be empty.
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Deformation Potentials and Mobilities in Non-Polar Crystals
John Bardeen,William Shockley +1 more
TL;DR: In this article, the authors used the method of effective mass, extended to apply to gradual shifts in energy bands resulting from deformations of the crystal lattice, to estimate the interaction between electrons of thermal energy and the acoustical modes of vibration.