A number-theoretic estimate for the Thomas-Fermi density

Antonio Córdoba; Charles L. Fefferman; Luis A. Seco

doi:10.1080/03605309608821218

A number-theoretic estimate for the Thomas-Fermi density

Antonio Córdoba, Charles L. Fefferman, Luis A. Seco

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper we obtain an estimate for the Thomas-Fermi density which plays a role in the analysis of the atomic energy asymptotics. Such estimate has obvious number-theoretic features related to the radial symmetry of a certain Schrödinger operator, and we use number-theoretic methods in our proof. From the technical viewpoint, we also simplify and improve some of the original estimates in the proof of the Dirac-Schwinger correction to the atomic energy asymptotics.

Original language	English (US)
Pages (from-to)	1087-1102
Number of pages	16
Journal	Communications in Partial Differential Equations
Volume	21
Issue number	7-8
DOIs	https://doi.org/10.1080/03605309608821218
State	Published - 1996

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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abstract = "In this paper we obtain an estimate for the Thomas-Fermi density which plays a role in the analysis of the atomic energy asymptotics. Such estimate has obvious number-theoretic features related to the radial symmetry of a certain Schr{\"o}dinger operator, and we use number-theoretic methods in our proof. From the technical viewpoint, we also simplify and improve some of the original estimates in the proof of the Dirac-Schwinger correction to the atomic energy asymptotics.",

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AU - Fefferman, Charles L.

AU - Seco, Luis A.

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AB - In this paper we obtain an estimate for the Thomas-Fermi density which plays a role in the analysis of the atomic energy asymptotics. Such estimate has obvious number-theoretic features related to the radial symmetry of a certain Schrödinger operator, and we use number-theoretic methods in our proof. From the technical viewpoint, we also simplify and improve some of the original estimates in the proof of the Dirac-Schwinger correction to the atomic energy asymptotics.

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