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SUMMARY:The semi-infinite q-boson system with boundary interaction - van D
 iejen\, JF (Ponticia Universidad Catlica de Chile)
DTSTART:20130711T103000Z
DTEND:20130711T110000Z
UID:TALK46191@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The q-boson system is a lattice discretization of the one-dime
 nsional quantum nonlinear\nSchrdinger equation built of particle creation 
 and annihilation operators representing the q-oscillator algebra. Its n-pa
 rticle eigenfunctions are given by Hall-Littlewood functions. I will discu
 ss a system of q-bosons on the semi-infinite lattice with boundary interac
 tions arising from a quadratic deformation of the q-boson field algebra at
  the end point and show that the Bethe Ansatz eigenfunctions are given by 
 Macdonald's three-parameter Hall-Littlewood functions with hyperoctahedral
  symmetry associated with the BC-type root system. From a stationary phase
  analysis\, it then follows that the n-particle scattering matrix factoriz
 es as a product of explicitly computed two-particle bulk and one-particle 
 boundary scattering matrices.\n
LOCATION:Seminar Room 1\, Newton Institute
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