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Binary trees, coproducts and integrable systems

URN to cite this document:
urn:nbn:de:bvb:355-epub-246171
Erbe, Björn ; Schmidt, H. J.
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Date of publication of this fulltext: 29 May 2012 06:06


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. ...

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