A geometric wave function for a few interacting bosons in a harmonic trap

作者：Wilson B; Foerster A^*; Kuhn C C N; Roditi I; Rubeni D

来源：Physics Letters, Section A: General, Atomic and Solid State Physics , 2014, 378(16-17): 1065-1070.

DOI：10.1016/j.physleta.2014.02.009

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 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.

• 出版日期2014-3-14