Semi-classical limit of an attractive Fermi gas in one or two dimensions
Mathematical Physics
2026-02-26 v1 Quantum Gases
math.MP
Abstract
We study the ground-state of a Fermi gas with short range attrative interactions in one or two dimensions. N fermions are placed in a confining potential, and interact with each other through a negative potential, whose range is larger than the typical distance between particles. We show the convergence of the ground state energy of the Hamiltonian to a Thomas-Fermi energy in the large N limit. Furthermore, we prove convergence of the ground states, in the sense of their Husimi functions.
Cite
@article{arxiv.2602.21640,
title = {Semi-classical limit of an attractive Fermi gas in one or two dimensions},
author = {Thomas Gamet},
journal= {arXiv preprint arXiv:2602.21640},
year = {2026}
}