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.

Original languageEnglish
JournalAnnales Henri Poincare
Volume21
Issue number2
Pages (from-to)571-626
ISSN1424-0637
DOIs
Publication statusPublished - 2020

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