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arXiv · 2602.21640

Semi-classical limit of an attractive Fermi gas in one or two dimensions

Thomas Gamet
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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. These results extend to the case of a repulsive interaction of positive Fourier transform.

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Thomas Gamet. 2026-02-25. Semi-classical limit of an attractive Fermi gas in one or two dimensions. https://arxiv.org/abs/2602.21640

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