Wilson, BrendanFoerster, AngelaNoschang Kuhn, CarlosRoditi, IRubeni, D2015-12-080375-9601http://hdl.handle.net/1885/33931We establish a new geometric wave function that combined with a variational principle efficiently describes a system of bosons interacting in a one-dimensional trap. By means of a combination of the exact wave function solution for contact interactions and the asymptotic behavior of the harmonic potential solution we obtain the ground state energy, probability density and profiles of a few boson system in a harmonic trap. We are able to access all regimes, ranging from the strongly attractive to the strongly repulsive one with an original and simple formulation.201410.1016/j.physleta.2014.02.0092015-12-08