The Scott Correction in Dirac–Fock Theory

Søren Fournais; Mathieu Lewin; Arnaud Triay

doi:10.1007/s00220-020-03781-6

The Scott Correction in Dirac–Fock Theory

Søren Fournais^*, Mathieu Lewin, Arnaud Triay

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

Abstract

We give the first derivation of the Scott correction in the large-Z expansion of the energy of an atom in Dirac–Fock theory without projections.

Original language	English
Journal	Communications in Mathematical Physics
Volume	378
Issue	1
Pages (from-to)	569-600
Number of pages	32
ISSN	0010-3616
DOIs	https://doi.org/10.1007/s00220-020-03781-6
Publication status	Published - Aug 2020

Keywords

ASYMPTOTICS
GROUND-STATE ENERGY
HEAVY-ATOMS
MEAN-FIELD THEORY
OPERATORS
POLARIZED VACUUM
QUANTUM ELECTRODYNAMICS
SELF-ADJOINT EXTENSIONS
STATISTICAL ATOM
THOMAS-FERMI MODEL

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10.1007/s00220-020-03781-6

https://arxiv.org/pdf/1911.09482.pdf

Cite this

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title = "The Scott Correction in Dirac–Fock Theory",

abstract = "We give the first derivation of the Scott correction in the large-Z expansion of the energy of an atom in Dirac–Fock theory without projections.",

keywords = "ASYMPTOTICS, GROUND-STATE ENERGY, HEAVY-ATOMS, MEAN-FIELD THEORY, OPERATORS, POLARIZED VACUUM, QUANTUM ELECTRODYNAMICS, SELF-ADJOINT EXTENSIONS, STATISTICAL ATOM, THOMAS-FERMI MODEL",

author = "S{\o}ren Fournais and Mathieu Lewin and Arnaud Triay",

year = "2020",

month = aug,

doi = "10.1007/s00220-020-03781-6",

language = "English",

volume = "378",

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journal = "Communications in Mathematical Physics",

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T1 - The Scott Correction in Dirac–Fock Theory

AU - Fournais, Søren

AU - Lewin, Mathieu

AU - Triay, Arnaud

PY - 2020/8

Y1 - 2020/8

N2 - We give the first derivation of the Scott correction in the large-Z expansion of the energy of an atom in Dirac–Fock theory without projections.

AB - We give the first derivation of the Scott correction in the large-Z expansion of the energy of an atom in Dirac–Fock theory without projections.

KW - ASYMPTOTICS

KW - GROUND-STATE ENERGY

KW - HEAVY-ATOMS

KW - MEAN-FIELD THEORY

KW - OPERATORS

KW - POLARIZED VACUUM

KW - QUANTUM ELECTRODYNAMICS

KW - SELF-ADJOINT EXTENSIONS

KW - STATISTICAL ATOM

KW - THOMAS-FERMI MODEL

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U2 - 10.1007/s00220-020-03781-6

DO - 10.1007/s00220-020-03781-6

M3 - Journal article

AN - SCOPUS:85086162726

SN - 0010-3616

VL - 378

SP - 569

EP - 600

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 1

ER -

The Scott Correction in Dirac–Fock Theory

Abstract

Keywords

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Semiclassical Quantum Mechanics

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The Scott Correction in Dirac–Fock Theory

Abstract

Keywords

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Semiclassical Quantum Mechanics

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