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SUMMARY:Quantisation of Kadomtsev-Petviashvili equation - Evgeny Sklyanin 
 (University of York)
DTSTART:20160114T163000Z
DTEND:20160114T173000Z
UID:TALK64635@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Co-authors: Karol Kozlowski (Institut de mathematiques  de Bou
 rgogne\, Dijon\, France)\, Alessandro Torrielli (University of  Surrey)<sp
 an><br><span><br>A quantisation of the KP equation on a cylinder is propos
 ed that is  equivalent to an infinite system of one-dimensional bosons car
 rying masses  m=1\,2\,... The Hamiltonian is Galilei-invariant and include
 s the cubic  split/merge (m1\,m2)<->(m1+m2) terms for all combinations of 
 particles with  masses m1\, m2 and m1+m2\, with a special choice of coupli
 ng constants. The Bethe  eigenfunctions for the model are constructed. The
  consistency of the coordinate  Bethe ansatz\, and therefore\, the quantum
  integrability of the model is verified  for the sectors up to the total m
 ass M=8.&nbsp\;</span></span>
LOCATION:Seminar Room 1\, Newton Institute
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