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## Homework Statement

Given L (q, dq/dt, t).

translation: q ---> q + e (e is infinitesimal constant)

show that if ∂L/∂q = 0, then L is symmetry under the above translation.

then find conserved quantity.

## Homework Equations

S = ∫ L dt

## The Attempt at a Solution

My attempt is nothing... because I don't know the proper procedure to prove a symmetry. Do I simply prove L' - L = 0? But then the next part askes me to find conserved quantity. I have no idea how to find it...

So, can anyone spare me some hints...?[/B]

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