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The spin of the ground state of an atom.

Charles L. FeffermanLuis A. Seco — 1996

Revista Matemática Iberoamericana

In this paper we address a question posed by M. and T. Hoffmann-Ostenhof, which concerns the total spin of the ground state of an atom or molecule. Each electron is given a value for spin, ±1/2. The total spin is the sum of the individual spins.

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

Charles L. FeffermanLuis A. Seco — 1993

Revista Matemática Iberoamericana

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 ⎧   y''(x) = x-1/2y3/2(x), ⎨   y(0) =...

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