A Test of a New Interacting N-Body Wave Function

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dc.creatorDunn, Martin
dc.creatorLaing, W. Blake
dc.creatorToth, Derrick
dc.creatorWatson, Deborah K.
dc.date2009-03-04
dc.date.accessioned2026-07-07T12:49:12Z
dc.date.available2026-07-07T12:49:12Z
dc.descriptionThe resources required to solve the general interacting quantum N-body problem scale exponentially with N, making the solution of this problem very difficult when N is large. In a previous series of papers we develop an approach for a fully-interacting wave function with a general two-body interaction which tames the N-scaling by developing a perturbation series that is order-by-order invariant under a point group isomorphic with S_N . Group theory and graphical techniques are then used to solve for the wave function exactly and analytically at each order. Recently this formalism has been used to obtain the first-order, fully-interacting wave function for a system of harmonically-confined bosons interacting harmonically. In this paper, we report the first application of this N-body wave function to a system of N fully-interacting bosons in three dimensions. We determine the density profile for a confined system of harmonically-interacting bosons. Choosing this simple interaction is not necessary or even advantageous for our method, however this choice allows a direct comparison of our exact results through first order with exact results obtained in an independent solution. Our density profile through first-order in three dimensions is indistinguishable from the first-order exact result obtained independently and shows strong convergence to the exact result to all orders.
dc.identifierhttps://arxiv.org/abs/0903.0875
dc.identifierhttp://arxiv.org/abs/0903.0875
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222323
dc.subjectOther Condensed Matter
dc.titleA Test of a New Interacting N-Body Wave Function
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