# Lagrangians and conserved quantities

by quasar_4
Tags: conserved, lagrangians, quantities
 P: 647 I think this is a really good question! I haven't thought of this before until now. I imagine it would be a little weird for you to be interested in a situation with angular symmetry and not using $$\theta$$ or $$\phi$$ and their derivatives for your q and q dot things, but i guess its possible. Here is my best stab, and im pretty sure of the strength of this statement: Anytime there is a conservation law, it means there is a symmetry in any one of the 4 spatial coordinates. Conservation laws are geometrically based, so look at your system, and if there is a symmetry in one of the coordinates, then there is conservation of something. I hope this helps...