A q-hypergeometric approach to integrable systems related with the q-Onsager algebra

01/26/2016 - 15:30
Pascal Baseilhac, Université de Tours
CRM, UdeM, Pavillon André-Aisenstadt, 2920, ch. de la Tour, salle 4336

A q-hypergeometric framework for a class of quantum integrable models generated from the q-Onsager algebra will be presented. By analogy with the basic example of the quantum harmonic oscillator which eigenfunctions are the Hermite polynomials, I will explain that the bispectral family of multivariable Gasper-Rahman polynomials (generalizing those of Askey-Wilson) provide a natural basis for studying integrable models generated from the basic generators of the q-Onsager algebra. In this talk, I will present an overview (motivations/aims/applications/perspectives) and the main results. Work done in collaboration with Xavier Martin. See: arXiv:1506.06902.

Last edited by on Fri, 01/22/2016 - 10:25