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

Birger Brietzke*, Søren Fournais, Jan Philip Solovej

*Corresponding author af dette arbejde

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Abstract

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).

OriginalsprogEngelsk
TidsskriftCommunications in Mathematical Physics
Vol/bind376
Nummer1
Sider (fra-til)323–351
Antal sider29
ISSN0010-3616
DOI
StatusUdgivet - 2020

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