<p>We consider a dilute Bose gas in the thermodynamic limit. We prove an upper bound for the ground state energy per unit volume, capturing the expected third order term, as predicted by Wu, Hugenholtz–Pines and Sawada.</p>

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Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas

  • Morris Brooks,
  • Jakob Oldenburg,
  • Diane Saint Aubin,
  • Benjamin Schlein

摘要

We consider a dilute Bose gas in the thermodynamic limit. We prove an upper bound for the ground state energy per unit volume, capturing the expected third order term, as predicted by Wu, Hugenholtz–Pines and Sawada.