Aperiodicity of the Hamiltonian flow in the Thomas-Fermi potential | Zendy

Charles Fefferman | Zendy; Luis Seco | Zendy

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Aperiodicity of the Hamiltonian flow in the Thomas-Fermi potential

Author(s) -

Charles Fefferman,

Luis Seco

Publication year - 1993

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/142

Subject(s) - mathematics , hamiltonian (control theory) , fermi gamma ray space telescope , ground state , inequality , mathematical physics , pure mathematics , flow (mathematics) , hamiltonian system , atom (system on chip) , mathematical analysis , quantum mechanics , geometry , physics , mathematical optimization , computer science , embedded system

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 ofi y''(x) = x-1/2y3/2(x),i y(0) = 1,i y(8) = 0.

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