TY - JOUR AB - We investigate the low energy excitation spectrum of a Bose gas with weak, long range repulsive interactions. In particular, we prove that the Bogoliubov spectrum of elementary excitations with linear dispersion relation for small momentum becomes exact in the mean-field limit. AU - Robert Seiringer ID - 2393 IS - 2 JF - Communications in Mathematical Physics TI - The excitation spectrum for weakly interacting Bosons VL - 306 ER -