Prove that adding a constant to the Lagrangian L or else multiplying the Lagrangian by a constant produces a new Lagrangian L′ that is physically equivalent to L.
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Prove that adding a constant to the Lagrangian L or else multiplying the Lagrangian by a constant produces a new Lagrangian L′ that is physically equivalent to L. (Physically equivalent means that the Euler-Lagrange equations for the q(t) remain the same under this change of Lagrangian).
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