The University of Queensland

Centre for Mathematical Physics

SEMINAR

Speaker:        Prof Ryu Sasaki, Yukawa Institute for Theoretical Physics,

Kyoto University

Title:            Explicit Integration of Calogero & Sutherland systems

10.00am, THIS Friday, 25th November, 2005

Priestley  Blding, room 641

Abstract:

Explicit solutions of the classical Calogero (rational with/without harmonic confining potential)

and Sutherland (trigonometric potential) systems is obtained by diagonalisation of certain

matrices of simple time evolution.  The method works for Calogero & Sutherland systems

based on any root system.  It generalises the well-known results by Olshanetsky and

Perelomov for the A type root systems.  Explicit solutions of the (rational and

trigonometric) higher Hamiltonian flows of the integrable hierarchy can be readily obtained

in a similar way for those based on the classical root systems.

All interested are invited to attend.

 

Enquiries to Katrina Hibberd email: keh@maths.uq.edu.au