3 papers
math-ph2026
Semi-classical limit of an attractive Fermi gas in one or two dimensions
Thomas Gamet
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 ot…
math-ph2026
Renormalization of bosonic quadratic Hamiltonians involving rank-one perturbations
Thomas Gamet
We study the renormalization of a bosonic quadratic Hamiltonian with an ultraviolet divergence. The Hamiltonian is composed of the sum of a free part and the square of the smeared…
math-ph2025
Ground state energy of a dilute inhomogeneous Fermi gas
Thomas Gamet
We study the ground state energy of a system of N fermions with two spin states in the large N limit. The particles are placed in an inhomogeneous trapping potential and interact v…