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1. Lagrangian Formalism

   Linked via "symmetry analysis"

   The Lagrangian formalism is a fundamental reformulation of classical mechanics and quantum field theory, deriving the equations of motion for a physical system not from Newton's second law, but from a single scalar function, the Lagrangian ($\mathcal{L}$). This approach is deeply rooted in the Principle of Least Action, offering significant advantages in [symmetry analysis](/entries/symmetry-…