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

2005/10/19 by W. B. Laing, W. Blake Laing, Laing, W. B. +7
Chemistry · Physics and Astronomy · #Atomic Physics (physics.atom-ph) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Molecular spectroscopy and chirality #Quantum optics and atomic interactions #physics.atom-ph

paper · pdf · doi:10.48550/arxiv.physics/0510177

4 pages, 1 figure, submitted to Physics Review Letters

arxiv created 2005/10/19 · openalex publication_date 2005/10/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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