  We 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 a combination of the exact wave function
solution for contact interactions and the asymptotic behaviour 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.
