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

Wilson, Brendan; Foerster, Angela; Noschang Kuhn, Carlos; Roditi, I; Rubeni, D

Description

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...[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
URI: http://hdl.handle.net/1885/33931
Source: Physics Letters A
DOI: 10.1016/j.physleta.2014.02.009

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