Hamiltonian

From Exampleproblems

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

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

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.

Both the Hamiltonian operator in physics and Hamiltonian cycles in graph theory are named after Sir William Rowan Hamilton.

Hamiltonian also refers to those who are supporters of views expressed by Alexander Hamilton.ko:해밀토니안 it:Hamiltoniano he:המילטוניאן pl:Hamiltonian