2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/101603The Gross-Pitaevskii equation assumes that all (identical) bosons of a condensate reside in a single one-particle function. Here, we raise the question whether it always provides the best mean-field ansatz for condensates, leading to the lowest mean-field ground state energy. To this end, we derive a mean-field approach allowing for bosons to reside in several different one-particle functions. The number of bosons in each of these functions is a variational parameter minimizing the energy. The energy and one-particle functions at these optimal numbers can be determined directly. A numerical example is presented demonstrating that the mean-field energy of trapped bosons can be below that provided by the Gross-Pitaevskii equation. Implications are discussed.(11 pages, 2 figures). Physics Letters A Article in PressCondensed Mattertext