This man's namesake principle is a refinement of the principle of stationary action.
A partial differential equation partially named for this man sets a namesake quantity equal to the negative time derivative of the action. That equation is named for this man and Jacobi. This man's namesake principle is a refinement of the principle of stationary action. Applying this man's namesake operator to the wavefunction of a system gives i h bar times the partial of the wavefunction with respect to time according to the (*) time-dependent Schroedinger's equation. In classical mechanics, a function named for him can be obtained by a Legendre transform on the Lagrangian. For 10 points, name this Irish mathematical physicist who revised Lagrangian mechanics, gave his name to the operator representing the total energy of a system, and invented quaternions.
A partial differential equation partially named for this man sets a namesake quantity equal to the negative time derivative of the action.
William Rowan Hamilton