Journal
PHYSICS LETTERS A
Volume 378, Issue 16-17, Pages 1065-1070Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2014.02.009
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Funding
- CAPES [Proc. 10126-12-0]
- CNPq
- FAPERJ
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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. (C) 2014 Elsevier B.V. All rights reserved.
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