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What is the way to use /relativity in the Lagrangian/ Hamiltonian formulation?

April 26, 2017formulation hamiltonian lagrangian Relativity

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What is the way to use /relativity in the Lagrangian/ Hamiltonian formulation?

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We won’t be getting to this in this course, but in general one requires in a relativistic theory that a Lagrangian be “invariant under Lorentz transformation”, i.e. that it leads to the same physics in any frame. (We will be defining Lorentz transformations in a bit).