On the classical-quantum correspondence for the scattering dwell time

Details On the classical-quantum correspondence for the scattering dwell time On the classical-quantum correspondence for the scattering dwell time

2004-06-09

arxiv.org/abs/quant-ph/0406056v1

Physics

Quantum Physics

5 pages, 1 figure

Scientific paper

10.1103/PhysRevE.70.036214

Using results from the theory of dynamical systems, we derive a general
expression for the classical average scattering dwell time, tau_av. Remarkably,
tau_av 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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