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
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- Fermionic properties of two interacting bosons in a two-dimensional harmonic trap
- Computation of local exchange coefficients in strongly interacting one-dimensional few-body systems: local density approximation and exact results
- Partial Fermionization---Spectral Universality in 1D Repulsive Bose Gases
- Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential
- Composite Bosons Superposition Ansatz Approach to One-Dimensional Trapped Few-Fermion Systems