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The scattering matrix and Birman-Krein formula in Hamiltonian mechanics

A. Pushnitski
(Kings College, London)
Analysis Seminar
Thursday, 27 May, 2010, at 16:15-17:05, in Aud. D3 (1531-215)
I will survey basic notions of scattering theory in Hamiltonian mechanics with a particular attention to the analogies with quantum scattering theory. I will define the scattering symplectomorphism, which turns out to be the correct analogue of the scattering matrix. I will state an identity in Hamiltonian mechanics which is analogous to the Birman-Krein formula in quantum scattering theory. The talk is based on recent joint work with Vladimir Buslaev (St.Petersburg).
Contact person: Erik Skibsted