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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.
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