Hamiltonian mechanics

Hamiltonian mechanics is a theory developed as a reformulation of classical mechanics and predicts the same outcomes as non-Hamiltonian classical mechanics.

It uses a different mathematical formalism, providing a more abstract understanding of the theory.

Description

Historically, Hamiltonian mechanics was an important reformulation of classical mechanics, which later contributed to the formulation of statistical mechanics and quantum mechanics.

Hamiltonian mechanics was first formulated by William Rowan Hamilton in 1833, starting from Lagrangian mechanics, a previous reformulation of classical mechanics introduced by Joseph Louis Lagrange in 1788.

See also

• Canonical transformation
• Classical field theory
• Hamiltonian field theory
• Covariant Hamiltonian field theory
• Classical mechanics
• De Donder–Weyl theory
• Dynamical systems theory
• Geometric mechanics
• Hamilton–Jacobi equation
• Hamilton–Jacobi–Einstein equation
• Hamiltonian (quantum mechanics)
• Hamiltonian optics
• Hamiltonian fluid mechanics
• Lagrangian mechanics
• Maxwell's equations
• Nambu mechanics
• Quantum Hamilton's equations
• Quantum field theory
• Routhian mechanics

External links

• Hamiltonian mechanics @ Wikipedia