Triangle Seminars
Monday, 31 Oct 2005
Twistor String Theory
Lionel Mason
(Oxford)
Wednesday, 2 Nov 2005
On the higher spin - gauge theory correspondence
📍 London
Paul Heslop
(DAMTP)
Q-operator and separation of variables for the Calogero-Sutherland model
Evgeny Sklyanin
(University of York)
Abstract:
Baxter's Q-operator is the quantum counterpart of the Baecklund transformation from the theory of classical Hamiltonian integrable systems. The Q-operator, which depends on a complex parameter called spectral, shares common eigenfunctions with the Hamiltonians of a quantum integrable system and satisfies a differential or difference equation in the spectral parameter. Using the Calogero-Sutherland model as an example we shall discuss the construction of the Q-operator and comment on its application for the separation of variables.
Baxter's Q-operator is the quantum counterpart of the Baecklund transformation from the theory of classical Hamiltonian integrable systems. The Q-operator, which depends on a complex parameter called spectral, shares common eigenfunctions with the Hamiltonians of a quantum integrable system and satisfies a differential or difference equation in the spectral parameter. Using the Calogero-Sutherland model as an example we shall discuss the construction of the Q-operator and comment on its application for the separation of variables.
Posted by: CityU
Conformal Invariance, Orbifold Field Theories and Closed String Tachyons
Radu Roiban
(Princeton)