Noether symmetries in the phase space Articles uri icon

authors

  • DIAZ JIMENEZ, BOGAR
  • GALINDO LINARES, ELIZABETH
  • RAMIREZ ROMERO, CUPATITZIO
  • SILVA ORTIGOZA, GILBERTO
  • SUAREZ XIQUE, ROMAN
  • TORRES DEL CASTILLO, GERARDO F.
  • VELAZQUEZ, MERCEDES

publication date

  • September 2014

start page

  • 1

end page

  • 12

issue

  • 9

volume

  • 4

International Standard Serial Number (ISSN)

  • 2158-3226

abstract

  • 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.

subjects

  • Mathematics