Analytic, Group-Theoretic Wave Functions for Confined N-Body Quantum Systems
Atomic Physics
2007-05-23 v1
Abstract
Systems involving N-identical interacting particles under quantum confinement appear in many areas of physics, including chemical, condensed matter, and atomic physics. We discuss a beyondmean- field perturbation method that is applicable to weakly, intermediate and strongly-interacting systems. Group theory is used to derive an analytic beyond-mean-field correlated wave function at zeroth order for a system under spherical confinement. We derive the corresponding zeroth-order analytic density profile and apply it to the example of a Bose-Einstein condensate.
Cite
@article{arxiv.physics/0510177,
title = {Analytic, Group-Theoretic Wave Functions for Confined N-Body Quantum Systems},
author = {W. B. Laing and M. Dunn and J. G. Loeser and D. K. Watson},
journal= {arXiv preprint arXiv:physics/0510177},
year = {2007}
}
Comments
4 pages, 1 figure, submitted to Physics Review Letters