3 papers
math-ph2026
A Note on the Construction of Trial States for the Dilute Bose Gas
Morris Brooks, Jakob Oldenburg, Diane Saint Aubin
We review how the local particle number cutoff introduced in [11] is used to build trial states for the dilute Bose gas that capture the substantial correlation structure of the gr…
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 hard spheres with radius , obeying bosonic statistics and moving in the box with periodic boundary condition…
math-ph2025
Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas
Morris Brooks, Jakob Oldenburg, Diane Saint Aubin +1
We consider a dilute Bose gas in the thermodynamic limit. We prove an upper bound for the ground state energy per unit volume, capturing the expected third order term, as predicted…