Classical Hamilton Equations (Q6674257)

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classical equations of motion for systems described by a classical Hamilton function specifying the total energy
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Classical Hamilton Equations
classical equations of motion for systems described by a classical Hamilton function specifying the total energy

    Statements

    d𝒒dt=+𝒑d𝒑dt=𝒒
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    Hamiltonian mechanics emerged in 1833 as a reformulation of Lagrangian mechanics. Introduced by Sir William Rowan Hamilton, Hamiltonian mechanics replaces (generalized) velocities used in Lagrangian mechanics with (generalized) momenta. Both theories provide interpretations of classical mechanics and describe the same physical phenomena.
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