2006/07/31 by W. B. Laing, M. Dunn, D. K. Watson · 1 citation
Physics and Astronomy · #cond-mat.other
paper · pdf · doi:10.1103/physreva.74.063605
15 pages, 2 figures, accepted by Physics Review A. This document was submitted after responding to a reviewer's comments
arxiv created 2006/09/08 · arxiv updated 2009/12/01
Confined quantum systems involving N identical interacting particles are to be found in many areas of physics, including condensed matter, atomic and chemical physics. A beyond-mean-field perturbation method that is applicable, in principle, to weakly, intermediate, and strongly-interacting systems has been set forth by the authors in a previous series of papers. Dimensional perturbation theory was used, and in conjunction with group theory, an analytic beyond-mean-field correlated wave function at lowest order for a system under spherical confinement with a general two-body interaction was derived. In the present paper, we use this analytic wave function to derive the corresponding lowest-order, analytic density profile and apply it to the example of a Bose-Einstein condensate.