2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/27637A grand canonical ensemble of interacting bosons is considered. The zero temperature phase diagram is evaluated from the mean-field approximation of the functional integral. Three phases are found: a superfluid, a normal fluid and a Mott insulator.Latex, 5 pages, 1 figureCondensed MatterFunctional Integration in Bose Systems with Hard-Core Interactiontext