Related papers: Wigner time delay and Hartman effect in quantum motion along deformed Riemannian manifolds

Wigner time delay and Hartman effect in quantum motion along deformed Riemannian manifolds

URL: http://arxiv.org/abs/2402.04734v1
Date: Wed, 7 Feb 2024 10:39:39 GMT
Title: Wigner time delay and Hartman effect in quantum motion along deformed Riemannian manifolds
Authors: Benjamin Schwager, Lars Meschede, Jamal Berakdar
Abstract summary: Elastic scattering of a wave can be quantified by a shift in the phase with respect to the incoming wave phase. At moderate and high energies, however, classical and quantum time delays coincide.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: Elastic scattering of a wave can be quantified by a shift in the phase with respect to the incoming wave phase. A qualitative measure of the time during which the effect occurs is given by the Wigner time delay. The tunneling time in turn is known to saturate with increasing tunneling barrier width (Hartman effect). Here, we analyze the elastic quantum mechanical scattering in a deformed one-dimensional Riemannian manifold, particularly with respect to the Wigner time delay and conclude on the Hartman effect. It is shown that scattering due to local curvature variations imply imperfect conduction behavior indicating resonance states and leads to a Wigner time delay which, at low energies, is in variance with the classical time delay that is inferred from the arc length. At moderate and high energies, however, classical and quantum time delays coincide.

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