Details

Autor(en) / Beteiligte

• Dittrich, Thomas
• Viviescas, Carlos
• Sandoval, Luis

Titel

Semiclassical propagator of the Wigner function

Ist Teil von

• Physical review letters, 2006-02, Vol.96 (7), p.070403-070403, Article 070403

Ort / Verlag

United States

Erscheinungsjahr

2006

Link zum Volltext

Quelle

American Physical Society

Beschreibungen/Notizen

• 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.