Hamiltonian

From Hamilton (“a surname”) +‎ -ian, alluding to either Irish mathematician William Rowan Hamilton (1805-1865) or American politician Alexander Hamilton (1755-1804).

Hamiltonian (not comparable)

1. (mathematics) Of, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865).
2. (mathematics, graph theory, of a cycle/path) That visits each vertex exactly once.
3. (mathematics, graph theory, of a graph) Containing a Hamiltonian cycle.
4. (historical, chiefly US, of certain fiscal policies) Advocated by Alexander Hamilton.
5. Relating to James Hamilton (1769-1831), or his method of teaching languages without grammar, by a literal interlinear word-for-word translation.
6. Relating to Sir William Hamilton, 9th Baronet (1788–1856), Scottish metaphysician.

Hamiltonian (plural Hamiltonians)

1. (physics, quantum mechanics) The observable, denoted by H, that corresponds to the total energy of the system.
2. (historical, chiefly US) A member of the faction of the US government in the George Washington administration led by Alexander Hamilton.

• H
• Kamiltonian

From Hamilton (“a place name”) +‎ -ian.

Hamiltonian (comparative more Hamiltonian, superlative most Hamiltonian)

1. Of or relating to any city named Hamilton.

Hamiltonian (plural Hamiltonians)

1. A native or inhabitant of any city named Hamilton.