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.

Hamiltonian mechanics has a close relationship with geometry (notably, symplectic geometry and Poisson structures) and serves as a link between classical and quantum mechanics. https://en.wikipedia.org/wiki/Hamiltonian_mechanics

See Also

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05 - Chart Showing the Conditions Governing the Transmittive Link of Sympathy
16.08 - Polar Link in Thirds
5.9 - Vortices Form Linked Atoms
bridge
Connect Link
connecting link
cosmic bridge
Hamiltonian Mechanics
inter-sympathetic vibratory molecular link
invisible bridge between heaven and earth
progressive link
The Connecting Link Between Mind and Matter - Keelys Progress - Part 2
transmissive link of sympathy
triple connective links
uniform molecular link
Vibratory Physics - The Connecting Link between Mind and Matter