FTP, what is this formulation of mechanics named for the discoverer of quaternions?
The mathematical formulation of this physical theory is based on a namesake function on a symplectic manifold. The symplectic form of the manifold defines the Poisson bracket of the theory. When the symplectic manifold is the cotangent bundle of a space, it directly corresponds to the physical idea of phase space, i.e. of coordinates and momenta. This differs from the Lagrangian formulation, based on coordinates and velocities. The namesake function is the generator of time translations, and plays the role of total energy. FTP, what is this formulation of mechanics named for the discoverer of quaternions?
The mathematical formulation of this physical theory is based on a namesake function on a symplectic manifold.
Hamiltonian mechanics