TY - JOUR
T1 - Quantisation of bending flows
JF - Czechoslovak Journal of Physics 56 (2006), n. 10-11, 1143-1148
Y1 - 2006
A1 - Gregorio Falqui
A1 - Fabio Musso
AB - 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.
UR - http://hdl.handle.net/1963/2537
U1 - 1582
U2 - Mathematics
U3 - Mathematical Physics
ER -