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Estimates on derivatives of Coulombic wave functions and their electron densities

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

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Estimates on derivatives of Coulombic wave functions and their electron densities. / Fournais, Søren; Sørensen, Thomas Østergaard.

I: Journal fur die Reine und Angewandte Mathematik, Bind 2021, Nr. 775, 06.2021.

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

Vancouver

Fournais S, Sørensen TØ. Estimates on derivatives of Coulombic wave functions and their electron densities. Journal fur die Reine und Angewandte Mathematik. 2021 jun.;2021(775). doi: 10.1515/crelle-2020-0047

Author

Fournais, Søren ; Sørensen, Thomas Østergaard. / Estimates on derivatives of Coulombic wave functions and their electron densities. I: Journal fur die Reine und Angewandte Mathematik. 2021 ; Bind 2021, Nr. 775.

Bibtex

@article{e5675dd7bcb249acb45abdc7d65424eb,

title = "Estimates on derivatives of Coulombic wave functions and their electron densities",

abstract = "We prove a priori bounds for all derivatives of non-relativistic Coulombic eigenfunctions Ψ, involving negative powers of the distance to the singularities of the many-body potential. We use these to derive bounds for all derivatives of the corresponding one-electron densities p, involving negative powers of the distance from the nuclei. The results are both natural and optimal, as seen from the ground state of Hydrogen.",

author = "S{\o}ren Fournais and S{\o}rensen, {Thomas {\O}stergaard}",

note = "Publisher Copyright: {\textcopyright} De Gruyter 2021.",

year = "2021",

month = jun,

doi = "10.1515/crelle-2020-0047",

language = "English",

volume = "2021",

journal = "Journal fuer die Reine und Angewandte Mathematik",

issn = "0075-4102",

publisher = "Walterde Gruyter GmbH",

number = "775",

}

RIS

TY - JOUR

T1 - Estimates on derivatives of Coulombic wave functions and their electron densities

AU - Fournais, Søren

AU - Sørensen, Thomas Østergaard

PY - 2021/6

Y1 - 2021/6

N2 - We prove a priori bounds for all derivatives of non-relativistic Coulombic eigenfunctions Ψ, involving negative powers of the distance to the singularities of the many-body potential. We use these to derive bounds for all derivatives of the corresponding one-electron densities p, involving negative powers of the distance from the nuclei. The results are both natural and optimal, as seen from the ground state of Hydrogen.

AB - We prove a priori bounds for all derivatives of non-relativistic Coulombic eigenfunctions Ψ, involving negative powers of the distance to the singularities of the many-body potential. We use these to derive bounds for all derivatives of the corresponding one-electron densities p, involving negative powers of the distance from the nuclei. The results are both natural and optimal, as seen from the ground state of Hydrogen.

UR - http://www.scopus.com/inward/record.url?scp=85105292022&partnerID=8YFLogxK

U2 - 10.1515/crelle-2020-0047

DO - 10.1515/crelle-2020-0047

M3 - Journal article

AN - SCOPUS:85105292022

VL - 2021

JO - Journal fuer die Reine und Angewandte Mathematik

JF - Journal fuer die Reine und Angewandte Mathematik

SN - 0075-4102

IS - 775

ER -