Non-symmetric Yang-Baxter algebra for the quantum nonlinear Schrodinger model

Mr Bart Vlaar (University of Glasgow)

Saturday 5th November, 2011 11:45-12:45 204


We study certain non-symmetric wavefunctions associated to the quantum nonlinear Schr\"{o}dinger (QNLS) model, introduced by Hikami using representations of the degenerate affine Hecke algebra. In particular, they form a complete set in the Hilbert space of square-integrable functions and can be generated using a vertex operator formalism analogous to the recursion that defines the symmetric QNLS wavefunction in the quantum inverse scattering method. Furthermore, some of the commutation relations encoded in the Yang-Baxter equation are generalized to the non-symmetric case.

Add to your calendar

Download event information as iCalendar file (only this event)