2006/10/01 by Gregorio Falqui, Fabio Musso
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #nlin.SI
paper · pdf · doi:10.1007/s10582-006-0415-9
7 pages, submitted to Czech. J. Phys
openalex publication_date 2006/10/01 · arxiv created 2006/10/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We briefly review the Kapovich-Millson notion of Bending flows as an integrable system on the space of polygons in \bf R3, 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.