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math-ph2011
Time delay and Calabi invariant in classical scattering theory
Antoine Gournay, Rafael Tiedra de Aldecoa
We define, prove the existence and obtain explicit expressions for classical time delay defined in terms of sojourn times for abstract scattering pairs (H_0,H) on a symplectic mani…
math-ph2011
A formula relating localisation observables to the variation of energy in Hamiltonian dynamics
Antoine Gournay, Rafael Tiedra de Aldecoa
We consider on a symplectic manifold M with Poisson bracket {,} an Hamiltonian H with complete flow and a family Phi=(Phi_1,...,Phi_d) of observables satisfying the condition {{Phi…