We briefly review the Kapovich-Millson notion of bending flows as an integrable system on the space of polygons in R <sup>3</sup>, its connection with a specific Gaudin XXX system, as well as the generalization to su(r), r > 2. Then we consider the quantization 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. © 2006 Institute of Physics, Academy of Sciences of Czech Republic.
Falqui, G., Musso, F. (2006). Quantization of bending flows. CZECHOSLOVAK JOURNAL OF PHYSICS, 56(10-11), 1143-1148 [10.1007/s10582-006-0415-9].
Quantization of bending flows
FALQUI, GREGORIO;
2006
Abstract
We briefly review the Kapovich-Millson notion of bending flows as an integrable system on the space of polygons in R 3, its connection with a specific Gaudin XXX system, as well as the generalization to su(r), r > 2. Then we consider the quantization 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. © 2006 Institute of Physics, Academy of Sciences of Czech Republic.
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