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A Proof of Scott’s Correction for Matter

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Abstract

This paper contains a strengthening of Stability of Matter, which in particular shows that Thomas-Fermi theory, which is already known to give the leading order contribution to the energy of Matter, if supplemented with the so-called Scott correction is correct uniformly in the number of nuclei. New more precise estimates of the volume of Matter also follow.

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Authors and Affiliations

  1. Universidad Autónoma de Madrid, Department of Mathematics, crta de Colmenar Viejo, Km. 15, 28049, Madrid, Spain

    Pedro Balodis

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  1. Pedro Balodis
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Correspondence to Pedro Balodis.

Additional information

Communicated by P. Sarnak

Work partially supported under the research project Ref. PB98-0067

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Balodis, P. A Proof of Scott’s Correction for Matter. Commun. Math. Phys. 249, 79–132 (2004). https://doi.org/10.1007/s00220-004-1104-9

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