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Effects of gauge transformations on symmetries of Birkhoffian system

Ding Guang-Tao

Effects of gauge transformations on symmetries of Birkhoffian system

Ding Guang-Tao
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Publishing process
  • Received Date:  02 January 2009
  • Accepted Date:  26 February 2009
  • Published Online:  20 November 2009

Effects of gauge transformations on symmetries of Birkhoffian system

  • 1. 安徽师范大学物理与电子信息学院,芜湖 241000

Abstract: The effects of gauge transformation on Noether symmetry, Lie symmetry and Mei symmetry of a Birkhoff system are studied. Under certain conditions, the system can keep its Noether symmetry and conserved quantity. The Lie symmetry and Hojman conserved quantity of the system will still remain unchanged. The Mei symmetry and a new-type conserved quantity of the system may very, and the conditions under which the Mei symmetry and the new-type conserved quantity will remain are obtained. An example is given to illustrate the application of the results.

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