Open orbits and the semiclassical dwell time

2003/10/01 by Caio Lewenkopf, Caio H. Lewenkopf, Raúl O. Vallejos +1 · 2 citations
Physics and Astronomy · Psychology · #Chaotic scattering #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Dwell time #Mesoscopic physics #Physics #Psychology #Quantum #Quantum chaos and dynamical systems #Quantum mechanics #Quantum optics and atomic interactions #Scattering #Semiclassical physics #Statistical physics #cond-mat

paper · pdf · doi:10.1088/0305-4470/37/1/008

7 pages, no figures

arxiv created 2003/10/01 · openalex publication_date 2003/12/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The Wigner delay time is addressed semiclassically using Miller's S -matrix expressed in terms of open orbits. This leads to a very appealing expression, in terms of classical paths, for the energy averaged Wigner time delay in chaotic scattering. The same approach also puts in evidence the semiclassical incapability to correctly assess the time delay higher moments. This limitation suggests that the use of the semiclassical approximation to quantify fluctuations in scattering phenomena, like in mesoscopic physics, has to be considered with great caution.

Citations

• Gain-assisted superluminal light propagation
• Correlations and fluctuations of matrix elements and cross sections
• Semiclassical cross section correlations
• On the semiclassical theory for universal transmission fluctuations in chaotic systems: the importance of unitarity
• Lower Limit for the Energy Derivative of the Scattering Phase Shift

Cited by

• Moments of the Wigner delay times
• Semiclassical relation between open trajectories and periodic orbits for the Wigner time delay