Fast oscillations in the semiclassical limit of the total cross section
- 11 September 1977
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 10 (13) , 2649-2662
- https://doi.org/10.1088/0022-3700/10/13/018
Abstract
A semiclassical approximation for the total cross section is derived starting from the exact partial-wave sum. Use of the Poisson-sum formula clearly demonstrates the contribution that arises from classical orbiting. This contribution results in a pattern of fast oscillations superimposed on the main glory oscillations and in certain cases may lead to a type of 'classical' resonance whose width-to-spacing ratio is independent of h(cross). Numerical examples are presented. The results also demonstrate (in the semiclassical limit) the insignificant role played by tunnelling resonances.Keywords
This publication has 16 references indexed in Scilit:
- Closed orbits and the regular bound spectrumProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1976
- On Regge trajectories for ion-atom and atom-atom potentialsMolecular Physics, 1976
- Semiclassical approximations in wave mechanicsReports on Progress in Physics, 1972
- Uniform approximations for glory scattering and diffraction peaksJournal of Physics B: Atomic and Molecular Physics, 1969
- On the semi-classical description of molecular orbiting collisionsMolecular Physics, 1968
- Uniform approximation for potential scattering involving a rainbowProceedings of the Physical Society, 1966
- Semi-classical scattering phase shifts in the presence of metastable statesProceedings of the Physical Society, 1966
- Semiclassical Analysis of the Extrema in the Velocity Dependence of Total Elastic-Scattering Cross Sections: Relation to the Bound StatesThe Journal of Chemical Physics, 1963
- Extrema in Velocity Dependence of Total Elastic Cross Sections for Atomic Beam Scattering: Relation to Di-atom Bound StatesThe Journal of Chemical Physics, 1962
- Semiclassical description of scatteringAnnals of Physics, 1959