Definition of "Hamiltonian"

(mathematics) Of, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865).  examples

(mathematics, graph theory, of a cycle/path) That visits each vertex exactly once.  examples

(mathematics, graph theory, of a graph) Containing a Hamiltonian cycle.  examples

(historical, chiefly US, of certain fiscal policies) Advocated by American politician Alexander Hamilton (1755-1804).

Relating to James Hamilton (1769-1831), or his method of teaching languages without grammar, by a literal interlinear word-for-word translation.  examples

Of, relating to, or in the literary style of Edmond Hamilton (1904–1977), American science fiction writer.  examples

Relating to Sir William Hamilton, 9th Baronet (1788–1856), Scottish metaphysician.  examples

(physics, Hamiltonian mechanics) A function (of time), denoted H, that corresponds to the total energy of the system.  examples

(physics, quantum mechanics) The observable, denoted H, that corresponds to the total energy of the system.  examples

(historical, chiefly US) A member of the faction of the US government in the George Washington administration led by Alexander Hamilton.

Of or relating to any city named Hamilton.  examples

A native or inhabitant of any city named Hamilton.  examples