Canonical scattering transformation in classical mechanics
- 1 April 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 23 (4), 1688-1697
- https://doi.org/10.1103/physreva.23.1688
Abstract
The quasiclassical phase shift is identified as the generator of the classical canonical transformation. This illuminates the connection between resonances and looping trajectories and the classical meaning of the time delay and Levinson's theorem. Finally the Coulomb phase shift is derived using for the time delay a free motion with a modified time dependence.
Keywords
This publication has 6 references indexed in Scilit:
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- Classical Dynamical SystemsPublished by Springer Nature ,1978
- Variational Upper and Lower Bounds for Multichannel ScatteringPhysical Review B, 1964
- Asymptotic Convergence and the Coulomb InteractionJournal of Mathematical Physics, 1964
- Lower Limit for the Energy Derivative of the Scattering Phase ShiftPhysical Review B, 1955