title: Semiclassical propagator of the Wigner function.
abstract: Propagation 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 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.
authors.affiliation: Departamento de Física, Universidad Nacional, Bogotá D.C., Colombia.
authors.forename: Thomas
authors.initials: T
authors.lastname: Dittrich
authors.forename: Carlos
authors.initials: C
authors.lastname: Viviescas
authors.forename: Luis
authors.initials: L
authors.lastname: Sandoval