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The linear response to a space- and time-dependent external disturbance of asystem of dilute condensed composite bosons at zero temperature, as obtainedfrom the linearized version of the time-dependent Gross-Pitaevskii equation, isshown to result also from the strong-coupling limit of the time-dependent BCS(or broken-symmetry RPA) approximation for the constituent fermions subject tothe same external disturbance. In this way, it is possible to connectexcited-state properties of the bosonic and fermionic systems by placing theGross-Pitaevskii equation in perspective with the corresponding fermionicapproximationsComment: 4 pages, 1 figur

Time-dependent Gross-Pitaevskii equation for composite bosons as the strong-coupling limit of the fermionic broken-symmetry random-phase approximation