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DO NOT USE THIS TAG just because the question contains an equation of motion!

1 vote
2 answers
640 views

Showing the invariance of the equations of motion

It is strange to me that for a symmetry which involves $\dot{x}$, there seems to always appear a term with $\dddot{x}$ in the variation of the equations of motion, which doesn't makes much sense. I th …
rsaavedra's user avatar
  • 862
3 votes
3 answers
671 views

Is it valid to replace the equations of motion inside a symmetry?

For example, this symmetry: $$\delta q^{i}=\epsilon(q^{i}-2\dot{q}^{i}t)$$ it's derivative is: $$\delta\dot{q}^{i}=-\epsilon(\dot{q}^i +2\ddot{q}^i t)$$ There appears $\ddot{q}^{i}$ in this expres …
rsaavedra's user avatar
  • 862