Monday, February 26, 2024 - 11:15 Sala di Rappresentanza Dipartimento di Matematica Università degli Studi di Milano Via Cesare Saldini 50
SPEAKER: Emanuela Giacomelli (LMU München)
The low density Fermi gas in three dimensions
In recent decades, the study of many-body systems has been an active area of research in both physics and mathematics. In this talk we consider a system of N interacting fermions with spin 1/2 confined in a box in the dilute regime. We are interested in studying the correlation energy, defined as the difference between the energy of the fundamental state and that of the free Fermi gas. We will discuss some recent results on a first-order asymptotic for the correlation energy in the thermodynamic limit, where the number of particles and the size of the box are sent to infinity while keeping the density fixed. In particular, we will present some recent results for the correlation energy that go in the direction of a rigorous proof of the well-known Huang-Yang formula of 1957.
