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Mathematical Physics Seminar

In Person Seminar: Herbert Spohn - Particle scattering and fusion for the Ablowitz-Ladik chain.

Location:  Hill 705
Date & time: Thursday, 07 March 2024 at 12:10PM - 1:00PM

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IN-PERSON MATHEMATICAL PHYSICS SEMINAR
RUTGERS UNIVERSITY
HILL 705
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COFFEE WILL BE AVAILABLE AT 11:50. THERE WILL BE A BROWN BAG LUNCH AFTER THE SEMINAR.

Herbert Spohn - Technical University of Munich

Date/Time/Location
Thursday,
March 7th, 12:10pm; Hill Center 705

Particle scattering and fusion for the Ablowitz-Ladik chain.

 

The Ablowitz-Ladik chain is an integrable disretization of the defocusing nonlinear Schroedinger equation in one dimension. The generalised free energy of the model has been obtained in prior work. Here we report on an underlying hamiltonian particle dynamics, for which the N-particle scattering shift is the sum of two-particle shifts. To our surprise, scattered particles do form bound pairs. As anticipated by analogy, the shift reappears in the free energy. This is joint work with Alberto Brollo.

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