Binary trees, coproducts and integrable systems

Autor(en): Erbe, B.
Schmidt, H. J.
Stichwörter: Physics; Physics, Mathematical; Physics, Multidisciplinary
Erscheinungsdatum: 2010
Herausgeber: IOP PUBLISHING LTD
Journal: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volumen: 43
Ausgabe: 8
Zusammenfassung: 
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.
ISSN: 17518113
DOI: 10.1088/1751-8113/43/8/085215

Show full item record

Google ScholarTM

Check

Altmetric