The University of Queensland

 

 

Centre for Mathematical Physics

 

SEMINAR

 

Speaker: Yao-Zhong Zhang, University of Queensland

 

Title: Polynomial algebras, higher order quasi-exactly solvable differential operators and exact solutions of classes of general non-linear quantum optical models

 

 

10am, Thursday 5th November, 2009

 

Priestley Building, room 442

Abstract:

 

We introduce novel polynomial deformations of the 3-dimensional Lie algebras. We construct their unitary representations and the corresponding differential operator realizations. This gives rise to higher order differential operators which are quasi-exactly solvable. We then use the results to obtain exact (Bethe ansatz) solutions to classes of very general non-linear models in quantum optics, including the so-called Boson-Einstein condensate models as special cases. This is an informal talk based on paper(s) in preparation with Yuan-Harng Lee (PhD student) and Wen-Li Yang.   

 

All interested are invited to attend.

Enquiries to Phillip Isaac email: psi@maths.uq.edu.au