FM 17-08; arXiv:0811.1166

Authors : Alessandro Giuliani, Robert Seiringer

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

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.

Keywords: Repulsive Bose gas, Bogoliubov's approximation, ground state energy, localization bounds.

Alessandro Giuliani,
Dipartimento di Matematica,
Universita' di Roma Tre,
L.go S. Leonardo Murialdo 1, 00146 Roma, Italy
giuliani@mat.uniroma3.it

Robert Seiringer,
Department of Physics,
Princeton University, Princeton 08544 NJ, USA
rseiring@math.princeton.edu