University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > The semi-infinite q-boson system with boundary interaction

The semi-infinite q-boson system with boundary interaction

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Mustapha Amrani.

Discrete Integrable Systems

The q-boson system is a lattice discretization of the one-dimensional quantum nonlinear Schrdinger equation built of particle creation and annihilation operators representing the q-oscillator algebra. Its n-particle eigenfunctions are given by Hall-Littlewood functions. I will discuss a system of q-bosons on the semi-infinite lattice with boundary interactions 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 factorizes as a product of explicitly computed two-particle bulk and one-particle boundary scattering matrices.

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity