Inevitability of the Lagrangian and gauge potentials
classification
⚛️ physics.class-ph
keywords
lagrangianpotentialsadjointcrucialdefinesequationsformulationfunctions
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In seeking a minimal variational formulation of Maxwell's equations, one is led naturally to the scalar and vector potentials as "adjoint" functions in a well-defined sense and to the crucial minus sign that defines the Lagrangian.
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