LESSON 34 -- 19/12/2022
Section outline
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The Legendre transform: definition and proof that it is a local diffeomorphism. The Legendre transform is a global diffeomorphism in the mechanical case. The Hamiltonian, Hamilton equations, the symplectic matrix. The Legendre transform conjugates (i.e. sends solutions into solutions) Lagrange and Hamilton equations, with proof. 1 exercise on Lagrangian mechanics. Video of lecture 34:
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