Aperiodicity of the Hamiltonian flow in the Thomas-Fermi potential.

Charles L. Fefferman; Luis A. Seco

Revista Matemática Iberoamericana (1993)

  • Volume: 9, Issue: 3, page 409-551
  • ISSN: 0213-2230

Abstract

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In [FS1] we announced a precise asymptotic formula for the ground-state energy of a non-relativistic atom. The purpose of this paper is to establish an elementary inequality that plays a crucial role in our proof of that formula. The inequality concerns the Thomas-Fermi potentialVTF = -y(ar) / r, a > 0, where y(r) is defined as the solution of⎧   y''(x) = x-1/2y3/2(x),⎨   y(0) = 1,⎩   y(∞) = 0.

How to cite

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Fefferman, Charles L., and Seco, Luis A.. "Aperiodicity of the Hamiltonian flow in the Thomas-Fermi potential.." Revista Matemática Iberoamericana 9.3 (1993): 409-551. <http://eudml.org/doc/39444>.

@article{Fefferman1993,
abstract = {In [FS1] we announced a precise asymptotic formula for the ground-state energy of a non-relativistic atom. The purpose of this paper is to establish an elementary inequality that plays a crucial role in our proof of that formula. The inequality concerns the Thomas-Fermi potentialVTF = -y(ar) / r, a &gt; 0, where y(r) is defined as the solution of⎧   y''(x) = x-1/2y3/2(x),⎨   y(0) = 1,⎩   y(∞) = 0.},
author = {Fefferman, Charles L., Seco, Luis A.},
journal = {Revista Matemática Iberoamericana},
keywords = {Dinámica molecular; Orbitales moleculares; Métodos fisicomatemáticos; Cálculo por ordenador; Cero; Niveles atómicos; Nivel de energía; Periodicidad; computer aided analysis; Thomas-Fermi differential equation; inequality; asymptotic formula; ground state energy of a nonrelativistic atom},
language = {eng},
number = {3},
pages = {409-551},
title = {Aperiodicity of the Hamiltonian flow in the Thomas-Fermi potential.},
url = {http://eudml.org/doc/39444},
volume = {9},
year = {1993},
}

TY - JOUR
AU - Fefferman, Charles L.
AU - Seco, Luis A.
TI - Aperiodicity of the Hamiltonian flow in the Thomas-Fermi potential.
JO - Revista Matemática Iberoamericana
PY - 1993
VL - 9
IS - 3
SP - 409
EP - 551
AB - In [FS1] we announced a precise asymptotic formula for the ground-state energy of a non-relativistic atom. The purpose of this paper is to establish an elementary inequality that plays a crucial role in our proof of that formula. The inequality concerns the Thomas-Fermi potentialVTF = -y(ar) / r, a &gt; 0, where y(r) is defined as the solution of⎧   y''(x) = x-1/2y3/2(x),⎨   y(0) = 1,⎩   y(∞) = 0.
LA - eng
KW - Dinámica molecular; Orbitales moleculares; Métodos fisicomatemáticos; Cálculo por ordenador; Cero; Niveles atómicos; Nivel de energía; Periodicidad; computer aided analysis; Thomas-Fermi differential equation; inequality; asymptotic formula; ground state energy of a nonrelativistic atom
UR - http://eudml.org/doc/39444
ER -

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