Calculate the Noether charge for the continuous symmetry(ies) in exercise 1, and check that the infinitesimal variations of \(q, \tilde{q}\) are indeed generated by the Noether charge via the Poisson bracket with \(q, \tilde{q}\).

Data From Exercise 1:-

Consider the Lagrangian \((q, \tilde{q} \in \mathbb{C})\)

What are its symmetries? What are the representations of the group in which \(q, \tilde{q}\) belong?

Transcribed Image Text:

m L = (191 + l) - V ((a + q)). (12.70)