TY - JOUR
T1 - A geometric wave function for a few interacting bosons in a harmonic trap
AU - Wilson, B.
AU - Foerster, A.
AU - Kuhn, C. C.N.
AU - Roditi, I.
AU - Rubeni, D.
PY - 2014/3/14
Y1 - 2014/3/14
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84897026936&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2014.02.009
DO - 10.1016/j.physleta.2014.02.009
M3 - Article
SN - 0375-9601
VL - 378
SP - 1065
EP - 1070
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 16-17
ER -