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1. Lagrangian Formalism

   Linked via "spatial translation"

   $$
   The conserved quantity $Q$ is the integral of the time component of this current. For example, time translation invariance leads to the conservation of energy (the Hamiltonian), while spatial translation invariance leads to the conservation of linear momentum. The presence of hidden or approximate symmetries in the Lagrangian is often the source of observed discrepancies between predicted and measured particle interactions [1].
   | Symmetry Operation | Associate…