Definition of Hamiltonian
& Mathematics of or relating to the mathematician Sir William Rowan Hamilton, especially denoting concepts employed in the wave-mechanical description of particles: Hamiltonian mechanics Hamiltonian circuit
2relating to the American statesman Alexander Hamilton or his doctrines: the Hamiltonian North
1 (also hamiltonian) Physics
& Mathematics a Hamiltonian operator or function.
2a follower or adherent of Alexander Hamilton or his doctrines.