Semi-classical Limit of Confined Fermionic Systems in Homogeneous Magnetic Fields

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Standard

Semi-classical Limit of Confined Fermionic Systems in Homogeneous Magnetic Fields. / Fournais, Søren; Madsen, Peter S.

I: Annales Henri Poincare, Bind 21, Nr. 5, 01.05.2020, s. 1401-1449.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Fournais, S & Madsen, PS 2020, 'Semi-classical Limit of Confined Fermionic Systems in Homogeneous Magnetic Fields', Annales Henri Poincare, bind 21, nr. 5, s. 1401-1449. https://doi.org/10.1007/s00023-019-00880-6

APA

Fournais, S., & Madsen, P. S. (2020). Semi-classical Limit of Confined Fermionic Systems in Homogeneous Magnetic Fields. Annales Henri Poincare, 21(5), 1401-1449. https://doi.org/10.1007/s00023-019-00880-6

Vancouver

Fournais S, Madsen PS. Semi-classical Limit of Confined Fermionic Systems in Homogeneous Magnetic Fields. Annales Henri Poincare. 2020 maj 1;21(5):1401-1449. https://doi.org/10.1007/s00023-019-00880-6

Author

Fournais, Søren ; Madsen, Peter S. / Semi-classical Limit of Confined Fermionic Systems in Homogeneous Magnetic Fields. I: Annales Henri Poincare. 2020 ; Bind 21, Nr. 5. s. 1401-1449.

Bibtex

@article{7660d84c3a04458bbc77ca90eb4f33bf,
title = "Semi-classical Limit of Confined Fermionic Systems in Homogeneous Magnetic Fields",
abstract = "We consider a system of N interacting fermions in R3 confined by an external potential and in the presence of a homogeneous magnetic field. The intensity of the interaction has the mean-field scaling 1/N. With a semi-classical parameter ħ∼ N- 1 / 3, we prove convergence in the large N limit to the appropriate magnetic Thomas–Fermi-type model with various strength scalings of the magnetic field.",
author = "S{\o}ren Fournais and Madsen, {Peter S.}",
note = "Funding Information: The authors were partially supported by the Sapere Aude Grant DFF–4181-00221 from the Independent Research Fund Denmark. Part of this work was carried out while both authors visited the Mittag-Leffler Institute in Stockholm, Sweden. Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Funding Information: The authors were partially supported by the Sapere Aude Grant DFF?4181-00221 from the Independent Research Fund Denmark. Part of this work was carried out while both authors visited the Mittag-Leffler Institute in Stockholm, Sweden. Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",
year = "2020",
month = may,
day = "1",
doi = "10.1007/s00023-019-00880-6",
language = "English",
volume = "21",
pages = "1401--1449",
journal = "Annales Henri Poincare",
issn = "1424-0637",
publisher = "Springer Basel AG",
number = "5",

}

RIS

TY - JOUR

T1 - Semi-classical Limit of Confined Fermionic Systems in Homogeneous Magnetic Fields

AU - Fournais, Søren

AU - Madsen, Peter S.

N1 - Funding Information: The authors were partially supported by the Sapere Aude Grant DFF–4181-00221 from the Independent Research Fund Denmark. Part of this work was carried out while both authors visited the Mittag-Leffler Institute in Stockholm, Sweden. Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Funding Information: The authors were partially supported by the Sapere Aude Grant DFF?4181-00221 from the Independent Research Fund Denmark. Part of this work was carried out while both authors visited the Mittag-Leffler Institute in Stockholm, Sweden. Publisher Copyright: © 2020, Springer Nature Switzerland AG.

PY - 2020/5/1

Y1 - 2020/5/1

N2 - We consider a system of N interacting fermions in R3 confined by an external potential and in the presence of a homogeneous magnetic field. The intensity of the interaction has the mean-field scaling 1/N. With a semi-classical parameter ħ∼ N- 1 / 3, we prove convergence in the large N limit to the appropriate magnetic Thomas–Fermi-type model with various strength scalings of the magnetic field.

AB - We consider a system of N interacting fermions in R3 confined by an external potential and in the presence of a homogeneous magnetic field. The intensity of the interaction has the mean-field scaling 1/N. With a semi-classical parameter ħ∼ N- 1 / 3, we prove convergence in the large N limit to the appropriate magnetic Thomas–Fermi-type model with various strength scalings of the magnetic field.

UR - http://www.scopus.com/inward/record.url?scp=85078591447&partnerID=8YFLogxK

U2 - 10.1007/s00023-019-00880-6

DO - 10.1007/s00023-019-00880-6

M3 - Journal article

AN - SCOPUS:85078591447

VL - 21

SP - 1401

EP - 1449

JO - Annales Henri Poincare

JF - Annales Henri Poincare

SN - 1424-0637

IS - 5

ER -

ID: 373181287