Semiclassical propagator of the Wigner function

dc.creatorDittrich, Thomas
dc.creatorSandoval, Luis
dc.creatorViviescas, Carlos
dc.date2005-08-06
dc.date2006-01-24
dc.date.accessioned2026-07-07T06:43:39Z
dc.date.available2026-07-07T06:43:39Z
dc.descriptionPropagation of the Wigner function is studied on two levels of semiclassical propagation, one based on the van-Vleck propagator, the other on phase-space path integration. Leading quantum corrections to the classical Liouville propagator take the form of a time-dependent quantum spot. Its oscillatory structure depends on whether the underlying classical flow is elliptic or hyperbolic. It can be interpreted as the result of interference of a \emph{pair} of classical trajectories, indicating how quantum coherences are to be propagated semiclassically in phase space. The phase-space path-integral approach allows for a finer resolution of the quantum spot in terms of Airy functions.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0508057
dc.identifierhttp://arxiv.org/abs/quant-ph/0508057
dc.identifierPhys. Rev. Lett. 96, 070403 (2006)
dc.identifierdoi:10.1103/PhysRevLett.96.070403
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102494
dc.subjectQuantum Physics
dc.titleSemiclassical propagator of the Wigner function
dc.typetext

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