A note on the Wu’s term in the ground state energy of a Bose gas in the Gross–Pitaevskii regime

Key Points

• The aim is to analyze the correction to ground state energy in a Bose gas within the Gross-Pitaevskii framework.
• Reviewed derivation of third order correction for ground state energy.
• Discussed key steps of proof from prior literature.
• Demonstrated calculation of optimal error term.
• Confirmed the correction term behaves as log N/N.
• Established optimal error term of order O(1/N).

Abstract