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math-ph2022★ 1 cited
An optimal upper bound for the dilute Fermi gas in three dimensions
Emanuela L. Giacomelli
In a system of interacting fermions, the correlation energy is defined as the difference between the energy of the ground state and the one of the free Fermi gas. We consider i…
math.AP2022
On the magnetic laplacian with a piecewise constant magnetic field in
Emanuela L. Giacomelli
We consider the Neumann realization of the magnetic laplacian in , in the case in which the magnetic field has a piecewise constant strength and a uniform direction…
math-ph2022★ 3 cited
Bogoliubov theory for the dilute Fermi gas in three dimensions
Emanuela L. Giacomelli
In a dilute system of N fermions with spin 1/2 in three dimensions, we study the correlation energy which is given by the difference between the ground state energy and the energy…