dorsal/arxiv
View SchemaExact Solution of the Quantum Calogero-Gaudin System and of its q-Deformation
| Authors | F. Musso, O. Ragnisco |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9910008 |
| URL | https://arxiv.org/abs/solv-int/9910008 |
| DOI | 10.1063/1.1308508 |
Abstract
A complete set of commuting observables for the Calogero-Gaudin system is diagonalized, and the explicit form of the corresponding eigenvalues and eigenfunctions is derived. We use a purely algebraic procedure exploiting the co-algebra invariance of the model; with the proper technical modifications this procedure can be applied to the $q-$deformed version of the model, which is then also exactly solved.
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"abstract": "A complete set of commuting observables for the Calogero-Gaudin system is\ndiagonalized, and the explicit form of the corresponding eigenvalues and\neigenfunctions is derived. We use a purely algebraic procedure exploiting the\nco-algebra invariance of the model; with the proper technical modifications\nthis procedure can be applied to the $q-$deformed version of the model, which\nis then also exactly solved.",
"arxiv_id": "solv-int/9910008",
"authors": [
"F. Musso",
"O. Ragnisco"
],
"categories": [
"solv-int",
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],
"doi": "10.1063/1.1308508",
"title": "Exact Solution of the Quantum Calogero-Gaudin System and of its q-Deformation",
"url": "https://arxiv.org/abs/solv-int/9910008"
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