A. Olgiati

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math-ph2026

The Lee-Huang-Yang energy for a dilute gas of hard spheres: an upper bound

Giulia Basti, Morris Brooks, Serena Cenatiempo +2

We consider a quantum gas consisting of $N$ hard spheres with radius $a > 0$ , obeying bosonic statistics and moving in the box $I^ = [0; L]^{3}$ with periodic boundary condition…

math-ph2025

Third order corrections to the ground state energy of a Bose gas in the Gross-Pitaevskii regime

Cristina Caraci, Alessandro Olgiati, Diane Saint Aubin +1

For a translation invariant system of $N$ bosons in the Gross-Pitaevskii regime, we establish a precise bound for the ground state energy $E_{N}$ . While the leading, order $N$ , contr…