Reformulation of Lagrangian Mechanics Hamiltonian Mechanics NotionHamiltonianKamiltonianHamiltonian EquationHamilton–Jacobi equationCanonical Transformation Hamiltonian mechanicsIn physics, Hamiltonian mechanics is a reformulation of Lagrangian mechanics that emerged in 1833. 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.https://en.wikipedia.org/wiki/Hamiltonian_mechanics