Hamiltonian

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• 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.

• The various senses of "Hamiltionian" 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).ko:해밀토니안

it:Hamiltoniano he:המילטוניאן pl:Hamiltonian