Arnol’d’s transformation—An example of a generalized canonical transformation

The duality transformation described by Arnol’d, which relates the orbits for different central potentials through a change of variables, is shown to be an example of a generalized canonical transformation, in an extended phase space that includes time as a dynamical variable.

Saved in:
Bibliographic Details
Published in:Journal of mathematical physics 1998-07, Vol.39 (7), p.3661-3669
Main Author: Stump, Daniel R.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The duality transformation described by Arnol’d, which relates the orbits for different central potentials through a change of variables, is shown to be an example of a generalized canonical transformation, in an extended phase space that includes time as a dynamical variable.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.532458