Erbe, B. and Schmidt, H. J. (2010) Binary trees, coproducts and integrable systems. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 43 (8): 085215. ISSN 1751-8113,
Full text not available from this repository. (Request a copy)Abstract
We provide a unified framework for the treatment of special integrable systems which we propose to call 'generalized mean-field systems'. Thereby previous results on integrable classical and quantum systems are generalized. Following Ballesteros and Ragnisco, the framework consists of a unital algebra with brackets, a Casimir element and a coproduct which can be lifted to higher tensor products. The coupling scheme of the iterated tensor product is encoded in a binary tree. The theory is exemplified by the case of a spin octahedron. The relation to other generalizations of the coalgebra approach is discussed.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 06 Aug 2020 06:52 |
| Last Modified: | 06 Aug 2020 06:52 |
| URI: | https://pred.uni-regensburg.de/id/eprint/25143 |
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