dorsal/arxiv
View SchemaAnalytic, Group-Theoretic Wave Functions for Confined N-Body Quantum Systems
| Authors | W. B. Laing, M. Dunn, J. G. Loeser, D. K. Watson |
|---|---|
| Categories | |
| ArXiv ID | physics/0510177 |
| URL | https://arxiv.org/abs/physics/0510177 |
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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"abstract": "Systems involving N-identical interacting particles under quantum confinement\nappear in many areas of physics, including chemical, condensed matter, and\natomic physics. We discuss a beyondmean- field perturbation method that is\napplicable to weakly, intermediate and strongly-interacting systems. Group\ntheory is used to derive an analytic beyond-mean-field correlated wave function\nat zeroth order for a system under spherical confinement. We derive the\ncorresponding zeroth-order analytic density profile and apply it to the example\nof a Bose-Einstein condensate.",
"arxiv_id": "physics/0510177",
"authors": [
"W. B. Laing",
"M. Dunn",
"J. G. Loeser",
"D. K. Watson"
],
"categories": [
"physics.atom-ph"
],
"title": "Analytic, Group-Theoretic Wave Functions for Confined N-Body Quantum Systems",
"url": "https://arxiv.org/abs/physics/0510177"
},
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