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SUMMARY:Heisenberg spin chains by separation of variables: recent advances
  - Veronique Terras (Université Paris Saclay\; CNRS (Centre national de l
 a recherche scientifique))
DTSTART:20160114T150000Z
DTEND:20160114T160000Z
UID:TALK64634@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Co-authors: G. Niccoli		(ENS Lyon)\, N. Kitanine		(Univ. de Bo
 urgogne)\, J.M. Maillet		(ENS Lyon) <span><br><br>During the last decades\
 , important progresses have been made concerning the computation of form f
 actors and correlation functions of simple models solvable by algebraic Be
 the Ansatz (ABA) such as the XXZ spin-1/2 chain or 1D Bose gas with period
 ic boundary conditions. However\, the generalization of these results to m
 ore complicated models or different types of integrable boundary condition
 s is for the moment limited by the range of applicability of ABA or by som
 e difficulties of the method.<br><span><br>In this talk\, we discuss the s
 olution of Heisenberg spin chains (XXX\, XXZ or XYZ) in the framework of a
  complementary approach\, Sklyanin&#39\;s quantum Separation of Variables 
 approach. This enables us notably to consider for these models various typ
 es of boundary conditions (quasi-periodic\, open...) not directly solvable
  by Bethe ansatz. More precisely\, we discuss in this framework some new r
 esults and open problems concerning the description of the spectrum by mea
 ns of solutions of a functional T-Q equation (or equivalently in terms of 
 Bethe-type equations). We also discuss the problem of the computation of t
 he eigenstates scalar products and of the form factors of local operators.
 </span></span>
LOCATION:Seminar Room 1\, Newton Institute
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