- #1
Kooklin
- 2
- 0
I've been trying to solve the problem of deriving the conserved "Noether Charge" associated with a transformation q(t) --> Q(s,t) under which the Lagrangian transforms in the following way:
L--> L + df(q,t,s)/dt (i.e. a full time derivative that doesn't depend on dq/dt)
I am guessing I need to take d/ds [ L + df(q,t,s)/dt ] = 0, which would mimic the derivation of the "Noether Charge" when the transformation leaves L invariant, but I am running into difficulties. Is this the right approach?? any help would be much appreciated.
Thanks =)
L--> L + df(q,t,s)/dt (i.e. a full time derivative that doesn't depend on dq/dt)
I am guessing I need to take d/ds [ L + df(q,t,s)/dt ] = 0, which would mimic the derivation of the "Noether Charge" when the transformation leaves L invariant, but I am running into difficulties. Is this the right approach?? any help would be much appreciated.
Thanks =)