Both <Noether charges> require boundary conditions that admit the stated transformations and no net boundary-current flux. Take a sufficiently localized field on the whole rod, with the weighted integrals below finite. Fixed endpoints at finite positions generally spoil the waveform-dilation <symmetry>.

Solution

Past exam of the theoretical physics I course of the University of Cambridge / 2017 / 1 / b / Solution

 Solution (source code)