# 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

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topFefferman, 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 > 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 > 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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