Local group velocity and path-delay: semi-classical propagators for the time evolution of Wigner functions in deep tunneling and in dispersive media

Controlled semi-classical approximations for the evolution kernels (the propagators) of the Wigner function in the cases of tunneling and propagation in dispersive media are derived. The semi-classical propagators follow well defined trajectories determined by the local group velocity and a path del...

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Bibliographic Details
Published in:Chemical physics letters 2004-10, Vol.396 (4), p.261-267
Main Authors: Kallush, S., Tannenbaum, E., Segev, Bilha
Format: Article
Language:English
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Summary:Controlled semi-classical approximations for the evolution kernels (the propagators) of the Wigner function in the cases of tunneling and propagation in dispersive media are derived. The semi-classical propagators follow well defined trajectories determined by the local group velocity and a path delay which is a multi-dimensional generalization of Wigner phase-delay time. A comparison between exact and semi-classical time evolution gives good agreement for propagation in dispersive media if the harmonic term in the dispersion relation is the dominant term and excellent agreement for deep tunneling.
ISSN:0009-2614
1873-4448
DOI:10.1016/j.cplett.2004.07.119