- A Hamiltonian is a mathematical function that can be used systematically and with great
generality to generate the equations of motion of a dynamic system.
The Hamiltonian is equivalent in many cases to the sum of the kinetic
energy and potential energy of
a system expressed in terms of the system's coordinates and momenta
treated as independent variables.
- It is also the mathematical operator that generates such a function.
The Hamiltonian is named after the Irish mathematician William Rowan Hamilton,
who first formulated it.