Hamiltonian mechanics
Mecánica hamiltoniana
- Date
- 1833 · confidence high
- Place
- Dunsink Observatory, Dublin, Ireland
- Credited to
- William Rowan Hamilton
- Field
- Cosmos & Earth
What was discovered
Hamilton reformulated Lagrangian mechanics by replacing velocities with generalized momenta via a Legendre transform. His formulation, linked to symplectic geometry, became the bridge between classical and quantum mechanics.
What it led to
- Path integral formulation in quantum mechanics
- Schrödinger equation
- Symplectic reduction techniques
Built on
- Lagrangian mechanics