On the Huang-Yang formula for the low-density Fermi gas in 3D

Thu Feb 6, 2025 4:00 p.m.—5:00 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

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Seminar: 
Analysis

Event time: 
Thursday, February 6, 2025 - 4:00pm

Location: 
Zoom

Speaker: 
Emanuela Giacomelli

Speaker affiliation: 
LMU Munchen

Event description: 
In 1957, Huang and Yang predicted an asymptotic formula for the ground state energy of a dilute Fermi gas in the thermodynamic limit. This formula highlights a remarkable universality, showing that the correlation energy depends solely on the interaction’s scattering length. In this talk, I will present a rigorous proof of the Huang-Yang prediction, employing a bosonization approach that interprets suitable pairs of fermions as bosons.
The Zoom link