Revision #812 → #1282 · back to history
addedHamiltonian mechanics2c53a7613c51
addedGeneralized momenta47b844246f49
addedLegendre transformation of the Lagrangianf7e6b8bb0c48
addedEnergy functione363dcb5ca58
addedHamiltonian4b7306fad86a
addedPhase space coordinates50135a3f528d
addedEuler–Lagrange becomes Hamilton's equations1c3cc8790d48
addedStationary action characterization of Hamilton's equations0932c819cd29
addedOne-dimensional nonrelativistic particle2da870dc0151
addedSpherical pendulumc9d351ca4727
addedEquivalence of Lagrange's and Hamilton's equations2e5178963386
addedHamiltonian equals total energy iff energy function does758b2e2cd719
addedInvariance of Hamiltonian under point transformationsd2ed989d99f1
addedCyclic (ignorable) coordinate69052b2ef984
addedConditions for Hamiltonian to equal T + V767a3d66cadf
addedKinetic energy of a system of N point massesc78a2f251130
addedConservation of Hamiltonian implies conservation of energy885c5c3c97ff
addedHamiltonian of a charged particle in an electromagnetic field756020f32119
addedSymplectic 2-form on the phase manifolda2faeaa9813b
addedDarboux's theorem (canonical coordinates)9586d5933eb6
addedHamiltonian vector field10c836cf1d24
addedHamilton's equation (geometric)8186307aabc7
addedHamiltonian system as fiber bundle009ab84defb4
addedPhase space (symplectic manifold)bd888b0f24cf
addedHamiltonian flow056e7b79cf2a
addedLiouville's theorem (symplectomorphisms preserve volume)8fd8ebf8ad61
addedPoisson bracket of functions9d3152fa4f95
addedLiouville's theorem (convective derivative vanishes)dd44faaafe45
addedLiouville integrable Hamiltonianb8d3ec60c4e8
addedLiouville–Arnold theoremb78d939fabdd
addedQuadratic-form (Riemannian) Hamiltonianbad010a82385
addedSub-Riemannian manifold3da1f611e667
addedSub-Riemannian Hamiltonian6cedd798f173
addedChow–Rashevskii theorem36dbb7b23cdc
addedHeisenberg group as sub-Riemannian manifoldb23f8833dc16
addedHamiltonian mechanics on a Poisson algebra62bfa10b3d0a
addedState on a Poisson algebra86564caf8e44
addedGeneral Poisson-bracket form of Hamilton's equatione4c4dd677f59