The energy of dilute Bose gases

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For a dilute system of non-relativistic bosons interacting through a positive, compactly supported, L-1-potential v with scattering length a we prove that the ground state energy density satisfies the bound e(rho) >= 4 pi a rho(2)(1 + 128/15 root pi root rho a(3) + o(root rho a(3))), thereby proving the Lee-Huang-Yang formula for the energy density.

Original languageEnglish
JournalAnnals of Mathematics
Volume192
Issue number3
Pages (from-to)893-976
ISSN0003-486X
DOIs
Publication statusPublished - Nov 2020

    Research areas

  • many-body quantum mechanics, dilute Bose gases, Bogolubov theory, Lee-Huang-Yang formula, GROUND-STATE ENERGY, EXCITATION SPECTRUM, INTERACTING BOSONS, ONE-COMPONENT

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