Séminaire du LPTMS: Alexios Polychronakos


11:00 - 12:00

LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay
15 Rue Georges Clemenceau, Orsay, 91405

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Duality, Solitons and Hydrodynamics in Generalized Calogero Models

Alexios Polychronakos (The City College and Graduate Center of the CUNY, New York)

I will present a first-order formulation of the Calogero model in external potentials in terms of a generating function, which simplifies the derivation of its dual form. Solitons naturally appear in this formulation as particles of negative mass. Using this method I derive the dual form of Calogero particles in external quartic, trigonometric and hyperbolic potentials, which were known to be  integrable but had no known dual formulation. I will also derive the fluid mechanical formulation of these models and outline the corresponding fluid mechanical soliton solutions.

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