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The magnetic Scott correction for relativistic matter at criticality

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The magnetic Scott correction for relativistic matter at criticality. / Bley, Gonzalo A.; Fournais, Soren.

In: Journal of Mathematical Physics, Vol. 61, No. 6, 062102, 01.06.2020.

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Bley, Gonzalo A. ; Fournais, Soren. / The magnetic Scott correction for relativistic matter at criticality. In: Journal of Mathematical Physics. 2020 ; Vol. 61, No. 6.

Bibtex

@article{5f87d33d0cd34275a6f89194a49288c0,
title = "The magnetic Scott correction for relativistic matter at criticality",
abstract = "We provide a proof of the first correction to the leading asymptotics of the minimal energy of pseudo-relativistic molecules in the presence of magnetic fields, the so-called {"}relativistic Scott correction,{"} when max Z(k)alpha 2 pi |x|>= 0.",
keywords = "GROUND-STATE ENERGY, THOMAS-FERMI MODEL, HEAVY-ATOMS",
author = "Bley, {Gonzalo A.} and Soren Fournais",
year = "2020",
month = jun,
day = "1",
doi = "10.1063/5.0007903",
language = "English",
volume = "61",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "A I P Publishing LLC",
number = "6",

}

RIS

TY - JOUR

T1 - The magnetic Scott correction for relativistic matter at criticality

AU - Bley, Gonzalo A.

AU - Fournais, Soren

PY - 2020/6/1

Y1 - 2020/6/1

N2 - We provide a proof of the first correction to the leading asymptotics of the minimal energy of pseudo-relativistic molecules in the presence of magnetic fields, the so-called "relativistic Scott correction," when max Z(k)alpha 2 pi |x|>= 0.

AB - We provide a proof of the first correction to the leading asymptotics of the minimal energy of pseudo-relativistic molecules in the presence of magnetic fields, the so-called "relativistic Scott correction," when max Z(k)alpha 2 pi |x|>= 0.

KW - GROUND-STATE ENERGY

KW - THOMAS-FERMI MODEL

KW - HEAVY-ATOMS

U2 - 10.1063/5.0007903

DO - 10.1063/5.0007903

M3 - Journal article

VL - 61

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 6

M1 - 062102

ER -