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, gives better rates and, in our opinion, is substantially simpler.
A new second-order upper bound for the ground state energy of dilute Bose gases / Basti, G.; Cenatiempo, S.; Schlein, B.. - In: FORUM OF MATHEMATICS. SIGMA. - ISSN 2050-5094. - 9:(2021), pp. 1-38. [10.1017/fms.2021.66]
A new second-order upper bound for the ground state energy of dilute Bose gases
Basti G.;
2021
Abstract
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, gives better rates and, in our opinion, is substantially simpler.File allegati a questo prodotto
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