The ground state energy of the weakly interacting Bose gas at high density

Details The ground state energy of the weakly interacting Bose gas at high density The ground state energy of the weakly interacting Bose gas at high density

2008-11-07

arxiv.org/abs/0811.1166v1

J. Stat. Phys. 135, 915 (2009)

Physics

Mathematical Physics

RevTeX4, 16 pages

Scientific paper

10.1007/s10955-009-9718-0

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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