B. Momont, RIGOROUS CALCULATION OF THE COLLECTIVE EXCITATION SPECTRUM IN A MEAN-FIELD MODEL, Journal of mathematical physics, 34(12), 1993, pp. 5549-5559
The dynamics of macroscopic density fluctuations is studied in the Ove
rhauser model. The spectral decomposition of the time derivative on th
e Hilbert space of macroscopic density fluctuations is completely dete
rmined. The spectrum of the collective excitations is rigorously calcu
lated.