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

4 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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10.1080/03605309608821218

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title = "A number-theoretic estimate for the Thomas-Fermi density",

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.",

author = "Antonio C{\'o}rdoba and Fefferman, {Charles L.} and Seco, {Luis A.}",

note = "Funding Information: This research is partially supported by a N.A.T.O. research grant no. CRG-921 184. A. C6rdoba is partially supported by a CICYT grant. C. Fefferman is partially supported by an NSF grant. L. Seco is partially supported by NSERC grant no. OGP0121848 and by a CICYT grant. L. Seco is grateful to the Universidad Aut6noma de Madrid, were part of this work was done, for their hospitality and financial support.",

year = "1996",

doi = "10.1080/03605309608821218",

language = "English (US)",

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pages = "1087--1102",

journal = "Communications in Partial Differential Equations",

issn = "0360-5302",

publisher = "Taylor and Francis Ltd.",

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TY - JOUR

T1 - A number-theoretic estimate for the Thomas-Fermi density

AU - Córdoba, Antonio

AU - Fefferman, Charles L.

AU - Seco, Luis A.

N1 - Funding Information: This research is partially supported by a N.A.T.O. research grant no. CRG-921 184. A. C6rdoba is partially supported by a CICYT grant. C. Fefferman is partially supported by an NSF grant. L. Seco is partially supported by NSERC grant no. OGP0121848 and by a CICYT grant. L. Seco is grateful to the Universidad Aut6noma de Madrid, were part of this work was done, for their hospitality and financial support.

PY - 1996

Y1 - 1996

N2 - 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.

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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DO - 10.1080/03605309608821218

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JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

IS - 7-8

ER -

A number-theoretic estimate for the Thomas-Fermi density

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