Hamiltonian
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See also: hamiltonian
English[edit]
Etymology 1[edit]
From Hamilton (“a surname”) + ian, alluding to either Irish mathematician William Rowan Hamilton (18051865) or American politician Alexander Hamilton (17551804).
Adjective[edit]
Hamiltonian (not comparable)
 (mathematics) Of, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865).
 (mathematics, graph theory, of a cycle/path) That visits each vertex exactly once.
 (mathematics, graph theory, of a graph) Containing a Hamiltonian cycle.
 (historical, chiefly US, of certain fiscal policies) Advocated by Alexander Hamilton.
 Relating to James Hamilton (17691831), or his method of teaching languages without grammar, by a literal interlinear wordforword translation.
 Relating to Sir William Hamilton, 9th Baronet (1788–1856), Scottish metaphysician.
Derived terms[edit]
Derived terms
Noun[edit]
Hamiltonian (plural Hamiltonians)
 (physics, quantum mechanics) The observable, denoted by H, that corresponds to the total energy of the system.
 (historical, chiefly US) A member of the faction of the US government in the George Washington administration led by Alexander Hamilton.
Derived terms[edit]
Translations[edit]
(quantum mechanics)


Etymology 2[edit]
From Hamilton (“a place name”) + ian.
Adjective[edit]
Hamiltonian (comparative more Hamiltonian, superlative most Hamiltonian)
 Of or relating to any city named Hamilton.
Noun[edit]
Hamiltonian (plural Hamiltonians)
 A native or inhabitant of any city named Hamilton.