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Quantisation of bending flows

TitleQuantisation of bending flows
Publication TypeJournal Article
Year of Publication2006
AuthorsFalqui, G, Musso, F
JournalCzechoslovak Journal of Physics 56 (2006), n. 10-11, 1143-1148

We briefly review the Kapovich-Millson notion of Bending flows as an integrable system on the space of polygons in ${\\\\bf R}^3$, its connection with a specific Gaudin XXX system, as well as the generalisation to $su(r), r>2$. Then we consider the quantisation problem of the set of Hamiltonians pertaining to the problem, quite naturally called Bending Hamiltonians, and prove that their commutativity is preserved at the quantum level.


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