EntityQ2256693· pop 8· linked from 38 articlesHamiltonian vector fieldSign in to savevector field associated to a hamiltonian on a symplectic manifoldConnectionsHamiltonian mechanicsEntityLie algebraEntitymathematicsEntityphysicsEntityInternational Standard Book NumberEntityclassical mechanicsEntityconservation of energyEntityWilliam Rowan HamiltonEntityisomorphismEntityVladimir ArnoldEntityvector fieldEntitylinear mapEntityif and only ifEntityequations of motionEntityNoether's theoremEntitydifferentiable functionEntitykernelEntitybilinear formEntitydiffeomorphismEntityDusa McDuffEntityCategoriesHamiltonian mechanicsSymplectic geometryWilliam Rowan Hamilton