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Forums
Physics
Classical Physics
Chain Rule in Lagrangian Transformation
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[QUOTE="vanhees71, post: 6070673, member: 260864"] If you want more general transformations, it's better to use the generalized Hamilton principle in terms of the Hamiltonian rather the Lagrangian formulation. This leads to the more general canonical transformations in phase space rather than the less general diffeomorphism invariance of the Lagrangian formalism in configuration space. The Hamiltonian phase-space formalism turns out to be the most valuable form of classical mechanics from a fundamental-physics point of view since it reveals the symplectic structure of phase space and allows for a quasi algebraic formulation of the dynamics in terms of Poisson brackets, which brings the classical theory very close to its extension to quantum theory. [/QUOTE]
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Forums
Physics
Classical Physics
Chain Rule in Lagrangian Transformation
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