• In physics, Hamiltonian has two distinct but closely related meanings.

• • Hamiltonian (classical mechanics) - In classical mechanics, the Hamiltonian is a function describing the state of a mechanical system in terms of position and momentum variables.
  • Hamiltonian (quantum mechanics) - In quantum mechanics, the Hamiltonian is an operator corresponding to the total energy of a system.

• In graph theory, a graph is Hamiltonian if it contains a path that starts and ends at the same vertex and includes each vertex exactly once. Such a path is called a Hamiltonian cycle.

• In group theory, see Hamiltonian group.

• In control theory, see Hamiltonian (control theory).

• The various senses of "Hamiltonian" in math and physics are named after Irish mathematician, physicist Sir William Rowan Hamilton. (1805 – 1865)

• Hamiltonian also refers to those who are supporters of views expressed by the eighteenth century American politician Alexander Hamilton, (1755 or 1757 – 1804).

Mathematical disambiguation

해밀토니안 | Hamiltoniano | המילטוניאן | Hamiltonian