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[School of Mathematics and Statistics]
Applied Mathematics Seminar
    
  
 
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Alexander Pushnitski
King's College London

A new identity in scattering theory in Hamiltonian mechanics

Wednesday 2nd Sep 14:05-14:55pm, Eastern Avenue Lecture Theatre.

This is a joint work with Vladimir Buslaev (St.Petersburg). In this talk, I will survey the basic notions of scattering theory in Hamiltonian mechanics and define the Poincare scattering map. I will emphasise the analogies between scattering theory in Hamiltonian mechanics and quantum scattering theory. I will also discuss a certain new identity in Hamiltonian mechanics which is analogous to the Birman-Krein formula in quantum scattering theory. This identity is stated using the language of symplectic geometry and involves the Calabi invariant of the Poincare scattering map.