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

Autores: L. A. Seco, Charles L. Fefferman
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 9, Nº 3, 1993, págs. 409-551
Idioma: inglés
DOI: 10.4171/rmi/142
Títulos paralelos:
- Aperiocidad del flujo hamiltoniano en el potencial de Thomas-Fermi.
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Resumen
- 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 potential VTF = -y(ar) / r, a > 0, where y(r) is defined as the solution of ì y''(x) = x-1/2y3/2(x), í y(0) = 1, î y(8) = 0.