AIP Advances (Sep 2014)

Noether symmetries in the phase space

  • Bogar Díaz,
  • Elizabeth Galindo-Linares,
  • Cupatitzio Ramírez-Romero,
  • Gilberto Silva-Ortigoza,
  • Román Suárez-Xique,
  • Gerardo F. Torres del Castillo,
  • Mercedes Velázquez

DOI
https://doi.org/10.1063/1.4896601
Journal volume & issue
Vol. 4, no. 9
pp. 097135 – 097135-12

Abstract

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The constants of motion of a mechanical system with a finite number of degrees of freedom are related to the variational symmetries of a Lagrangian constructed from the Hamiltonian of the original system. The configuration space for this Lagrangian is the phase space of the original system. The symmetries considered in this manner include transformations of the time and may not be canonical in the standard sense.