Solution of the Thomas-Fermi model with quantum corrections
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Solution of the Thomas-Fermi model with quantum corrections

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Published by Rand Corp.] in [Santa Monica, Calif .
Written in English

Subjects:

  • Atoms.,
  • Atomic theory.

Book details:

Edition Notes

Other titlesThomas-Fermi model with quantum corrections
StatementJames E. Enstrom.
SeriesPaper / Rand -- P-4546, P (Rand Corporation) -- P-4546.
The Physical Object
Pagination16 p. :
Number of Pages16
ID Numbers
Open LibraryOL21871517M

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Inclusion of exchange interaction: the Thomas–Fermi–Dirac equation. Calculation of pressure. Derivation of equation () using the virial theorem. The Thomas–Fermi model at finite temperatures. Calculation of thermodynamic functions. Exchange and quantum corrections to the Thomas–Fermi model. Quantum-shell corrections are made directly to the finite-temperature Thomas-Fermi-Dirac statistical model of the atom by a partition of the electronic density into bound and free components. The bound component is calculated using analytic basis functions whose parameters are chosen to . @article{osti_, title = {Region of validity of the finite–temperature Thomas–Fermi model with respect to quantum and exchange corrections}, author = {Dyachkov, Sergey and Moscow Institute of Physics and Technology, 9 Institutskiy per., Dolgoprudny, Moscow Region and Levashov, Pavel and Tomsk State University, 36 Lenin Prospekt, Tomsk }, abstractNote = {We determine the. Many quantum gravity theories predict a minimal length of the order of the Planck length. In this letter, the Thomas–Fermi model is reformulated by taking into account such a prescription.

A simple derivation is given for the first quantum correction to the Thomas-Fermi kinetic energy. Its application to the total binding energy of neutral atoms exploits the technique for handling. Density functional theory (DFT) is a computational quantum mechanical modelling method used in physics, chemistry and materials science to investigate the electronic structure (or nuclear structure) (principally the ground state) of many-body systems, in particular atoms, molecules, and the condensed this theory, the properties of a many-electron system can be determined by using. Selecta of Elliott H. Lieb The Stability of Matter: From Atoms to Stars Phase Transition in a Model Quantum System: Quantum Corrections to the Location of the Critical Point, Phys. Rev. , – (). Exact Solution of the F Model of an Antiferroelectric, Phys. Rev. Lett. 18, – (). File Size: 1MB. The classical hydrodynamic equations can be extended to include quantum effects by incorporating the first quantum corrections. Nonplanar dust-acoustic waves and chaotic motions in Thomas Fermi dusty plasmas. Semiconductor Simulations Using a Coupled Quantum Drift‐Diffusion Schrödinger–Poisson Model. SIAM Journal on Applied Cited by:

We place the Thomas-Fermi model of the quantum theory of atoms, molecules, and solids on a firm mathematical footing. Our results include: (1) A proof of existence and uniqueness of solutions of the nonlinear Thomas-Fermi equations as well as the fact that these solutions minimize the Thomas-Fermi energy functional, (2) a proof that in a suitable large nuclear charge limit, the quantum Cited by: Originally, Englert and Schwinger investigated corrections to the Thomas-Fermi model—and as they pointed out, the cut-off energy ζs has certain ambiguity because we are trying to patch a continuous semiclassical model with a discrete quantum model. The most consistent way to achieve this for the Thomas-Fermi model is to averageCited by: 3.   “The main advantage of the book is indeed its wide scope, addressing relevance and usefulness of equations of state in a variety of fields such as solid state physics, nuclear physics, plasma physics, astrophysics and elementary particle physics, both under ordinary and extreme conditions.”. Marshall Baker gave me Schwinger’s Quantum Mechanics Book as a Graduation Present. I looked though it and found that the last chapter had a detailed account of the Thomas-Fermi atom to which I did not pay much attention. Lowell S. Brown Myron’s Work on the Thomas-Fermi Atom.