Abstract
We prove the Lee-Huang-Yang formula for the ground state energy of the 3D Bose gas with repulsive interactions described by the exponential function, in a simultaneous limit of weak coupling and high density. In particular, we show that the Bogoliubov approximation is exact in an appropriate parameter regime, as far as the ground state energy is concerned.
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Dedicated with best wishes to Édouard Brézin and to Giorgio Parisi on the occasion of their 70th and 60th birthdays.
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Giuliani, A., Seiringer, R. The Ground State Energy of the Weakly Interacting Bose Gas at High Density. J Stat Phys 135, 915–934 (2009). https://doi.org/10.1007/s10955-009-9718-0
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DOI: https://doi.org/10.1007/s10955-009-9718-0