Semi-classical Limit of Confined Fermionic Systems in Homogeneous Magnetic Fields
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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.
| Original language | English |
|---|---|
| Journal | Annales Henri Poincare |
| Volume | 21 |
| Issue number | 5 |
| Pages (from-to) | 1401-1449 |
| ISSN | 1424-0637 |
| DOIs | |
| Publication status | Published - 1 May 2020 |
| Externally published | Yes |
Bibliographical 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.
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© 2020, Springer Nature Switzerland AG.
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