Geodesic
A new second-order upper bound for the ground state energy of dilute Bose gases
Forum of Mathematics, Sigma, Tome 9 (2021)

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We establish an upper bound for the ground state energy per unit volume of a dilute Bose gas in the thermodynamic limit, capturing the correct second-order term, as predicted by the Lee–Huang–Yang formula. This result was first established in [20] by H.-T. Yau and J. Yin. Our proof, which applies to repulsive and compactly supported $V \in L^3 (\mathbb {R}^3)$, gives better rates and, in our opinion, is substantially simpler. 
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     author = {Giulia Basti and Serena Cenatiempo and Benjamin Schlein},
     title = {A new second-order upper bound for the ground state energy of dilute {Bose} gases},
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Giulia Basti; Serena Cenatiempo; Benjamin Schlein. A new second-order upper bound for the ground state energy of dilute Bose gases. Forum of Mathematics, Sigma, Tome 9 (2021). doi: 10.1017/fms.2021.66

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