On the classical-quantum correspondence for the scattering dwell time
Abstract
Using results from the theory of dynamical systems, we derive a general expression for the classical average scattering dwell time, tauav. Remarkably, tauav depends only on a ratio of phase space volumes. We further show that, for a wide class of systems, the average classical dwell time is not in correspondence with the energy average of the quantum Wigner time delay.
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