Canonical scattering transformation in classical mechanics

H. Narnhofer and W. Thirring
Phys. Rev. A 23, 1688 – Published 1 April 1981
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Abstract

The quasiclassical phase shift is identified as the generator of the classical canonical S 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.

  • Received 2 October 1980

DOI:https://doi.org/10.1103/PhysRevA.23.1688

©1981 American Physical Society

Authors & Affiliations

H. Narnhofer and W. Thirring

  • Institut für Theoretische Physik, Universität Wien, A-1090 Wien, Austria

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Issue

Vol. 23, Iss. 4 — April 1981

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