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A new second-order upper bound for the ground state energy of dilute Bose gases
- Part of
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- Journal:
- Forum of Mathematics, Sigma / Volume 9 / 2021
- Published online by Cambridge University Press:
- 18 November 2021, e74
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- Article
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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.
