Czechoslovak Journal of Physics

, Volume 56, Issue 10–11, pp 1143–1148 | Cite as

Quantization of bending flows

  • Gregorio Falqui
  • Fabio Musso
Article

Abstract

We briefly review the Kapovich-Millson notion of bending flows as an integrable system on the space of polygons inR3, its connection with a specific GaudinXXX 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.

PACS

02.30.Ik 02.20.Sv 

Key words

Lax matrices XXX Gaudin models quantum integrable systems 

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Copyright information

© Springer 2006

Authors and Affiliations

  • Gregorio Falqui
    • 1
  • Fabio Musso
    • 2
  1. 1.Dipartimento di Matematica e ApplicazioniUniversità di Milano-BicoccaMilanoItaly
  2. 2.Dipartimento di FisicaUniversità di Roma III, and INFN, Sezione di Roma IIIRomaItaly

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