Please provide the simplest example you can think of, of generators of time evolution and generalized coordinates
I was reading the Wikipedia article about Noether's theorem and this thing popped out: Then the resultant perturbation can be written as a linear sum of the individual types of perturbations ...
For separable potential, say $x^4+y^4$, its symmetry are degenerate. Is that a generic case to every separable potential? I will explain my question: The potential $x^4+y^4$ has $A_1, B_1, A_2, B_2, ...