The Second-Order Correction to the Ground State Energy of the Dilute Bose Gas

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We establish the Lee–Huang–Yang formula for the ground state energy of a dilute Bose gas for a broad class of repulsive pair-interactions in 3D as a lower bound. Our result is valid in an appropriate parameter regime of soft potentials and confirms that the Bogoliubov approximation captures the right second-order correction to the ground state energy.

OriginalsprogEngelsk
TidsskriftAnnales Henri Poincare
Vol/bind21
Udgave nummer2
Sider (fra-til)571-626
Antal sider56
ISSN1424-0637
DOI
StatusUdgivet - 1 feb. 2020

ID: 240207669