generalized momentum

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generalized momentum

physics

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Lagrangian equation

In mechanics: Lagrange’s and Hamilton’s equations
It begins by defining a generalized momentum p _i, which is related to the Lagrangian and the generalized velocity q̇ _i by p _i = ∂L/∂q̇ _i. A new function, the Hamiltonian, is then defined by H = Σi q̇ _i p _i − L. From this point…
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