# Hamiltonian definitions

**function**of coordinates and momenta of bodies in the system, treated as independent variables. It is equal to the sum of the kinetic and potential energies of the system, and can be used to derive the equations of motion for the system. In quantum mechanics, the Hamiltonian is an

**operator**corresponding to the total energy of the system. The Hamiltonian is named after Irish mathematician William Rowan Hamilton (1805–1865).

*Hamiltonian*.

### Origin of hamiltonian

*After Sir William Rowan*

*Hamilton*

*(1805–1865), Irish mathematician*