On action-angle duality
Ian Marshall
Abstract: Action-angle duality is a property enjoyed by systems of Ruijsenaars type - many body systems; relativistic analogues of Calogero-Moser-Sutherland systems - whereby families of integrable systems come in natural pairs: the canonical coordinates of one system are the action-angle variables of the other, and together they generate the whole phase space. I will explain this property, and why it is special. When transported to quantum systems, the action-angle duality property is represented in the form of bispectral operators.
I hope also to describe results obtained with László Fehér in which Hamiltonian reduction is used to obtain systems in action-angle duality relation with one an other.
mathematical physicsanalysis of PDEsdifferential geometry
Audience: researchers in the topic
( video )
Geometry of differential equations seminar
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