Dynamical symmetries in classical mechanics

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Abstract

We show how symmetries of a classical dynamical system can be described in terms of operators that act on the state space for the system. We illustrate our results by considering a number of possible symmetries that a classical dynamical system might have, and for each symmetry we give examples of dynamical systems that do and do not possess that symmetry.

Original languageEnglish (US)
Article number006
Pages (from-to)73-83
Number of pages11
JournalEuropean Journal of Physics
Volume33
Issue number1
DOIs
StatePublished - Jan 2012
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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