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Analytic, Group-Theoretic Wave Functions for Confined N-Body Quantum Systems

W. B. Laing·M. Dunn·J. G. Loeser·D. K. Watson
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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.

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W. B. Laing, M. Dunn, J. G. Loeser, D. K. Watson. 2005-10-19. Analytic, Group-Theoretic Wave Functions for Confined N-Body Quantum Systems. https://arxiv.org/abs/physics/0510177

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