Show that the Lagrangian density (16.30) is invariant under (mathrm{U}(1)) phase rotations, find the corresponding conserved Noether

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Show that the Lagrangian density (16.30) is invariant under \(\mathrm{U}(1)\) phase rotations, find the corresponding conserved Noether current, and show that the conserved current is equivalent to that of Eq. (16.28).

Data from Eq. 16.28

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Data from Eq. 16.30

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