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A Simple 2nd Order Lower Bound to the Energy of Dilute Bose Gases

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  • Birger Brietzke, Heidelberg University 
  • ,
  • Søren Fournais
  • Jan Philip Solovej, Kobenhavns Universitet

For a dilute system of non-relativistic bosons interacting through a positive, radial potential v with scattering length a we prove that the ground state energy density satisfies the bound e(ρ)≥4πaρ2(1-Cρa3).

Original languageEnglish
JournalCommunications in Mathematical Physics
Volume376
Pages (from-to)323–351
Number of pages29
ISSN0010-3616
DOIs
Publication statusPublished - 2020

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