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.
Originalsprog | Engelsk |
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Tidsskrift | Annales Henri Poincare |
Vol/bind | 21 |
Udgave nummer | 5 |
Sider (fra-til) | 1401-1449 |
ISSN | 1424-0637 |
DOI | |
Status | Udgivet - 1 maj 2020 |
Eksternt udgivet | Ja |
Bibliografisk note
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© 2020, Springer Nature Switzerland AG.
ID: 373181287