A geometric wave function for few interacting bosons in a harmonic trap
arXiv:1307.1180 · doi:10.1016/j.physleta.2014.02.009
Abstract
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.
11 pages, 6 figures