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    • https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Tatum)/14%3A_Hamiltonian_Mechanics/14.03%3A_Hamilton's_Equations_of_Motion
      In classical mechanics we can describe the state of a system by specifying its Lagrangian as a function of the coordinates and their time rates of change.However, it is sometimes convenient to change ...In classical mechanics we can describe the state of a system by specifying its Lagrangian as a function of the coordinates and their time rates of change.However, it is sometimes convenient to change the basis of the description of the state of a system by defining a quantity called the hamiltonian H.

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