%0 Journal Article %1 delcastillo2017symmetries %A del Castillo, G. F. Torres %A Moreno-Ruiz, A. %D 2017 %K classical lagrangian symmetry %T Symmetries of the equations of motion that are not shared by the Lagrangian %U http://arxiv.org/abs/1705.08446 %X We show that if a Lagrangian is invariant under a transformation (with the invariance defined in the standard manner), then the equations of motion obtained from it maintain their form under the transformation. We also show that the converse is not true, giving examples of equations of motion that are form-invariant under a transformation, but these equations can be derived from a Lagrangian that is not invariant under such transformation. The conclusions are valid for discrete or continuous systems.

@article{delcastillo2017symmetries, abstract = {We show that if a Lagrangian is invariant under a transformation (with the invariance defined in the standard manner), then the equations of motion obtained from it maintain their form under the transformation. We also show that the converse is not true, giving examples of equations of motion that are form-invariant under a transformation, but these equations can be derived from a Lagrangian that is not invariant under such transformation. The conclusions are valid for discrete or continuous systems.}, added-at = {2017-05-25T23:01:17.000+0200}, author = {del Castillo, G. F. Torres and Moreno-Ruiz, A.}, biburl = {https://www.bibsonomy.org/bibtex/2a065c4de042379047f66204e94abe63a/vindex10}, description = {Symmetries of the equations of motion that are not shared by the Lagrangian}, interhash = {9dd2ea716fa979edf0d2e8b6a2499dec}, intrahash = {a065c4de042379047f66204e94abe63a}, keywords = {classical lagrangian symmetry}, note = {cite arxiv:1705.08446}, timestamp = {2017-05-25T23:01:17.000+0200}, title = {Symmetries of the equations of motion that are not shared by the Lagrangian}, url = {http://arxiv.org/abs/1705.08446}, year = 2017 }