Word.ws English Dictionary

hamiltonian

UK/ˌhæmɪlˈtəʊ.ni.ən/US/ˌhæmɪlˈtoʊ.ni.ən/

hamiltonian is the alternative letter-case form of Hamiltonian.

Adjective (1) capitalized: Hamiltonian

Hamiltonian (not comparable)

  1. Of, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865).
  2. That visits each vertex exactly once.
  3. Containing a Hamiltonian cycle.
    • Using the correction of a vector field to characterize isochronicity and explicit computations of this quantity for polynomial vector fields, wa are able to describe a very large class of nonisochronous Hamiltonian system of even degree of degree arbitrary large.2016, Jacky Cresson, Jordy Palafox, “Isochronous centers of polynomial Hamiltonian systems and a conjecture of Jarque and Villadelprat”, in arXiv
  4. (US, historical) Advocated by American politician Alexander Hamilton (1755–1804).
  5. Relating to James Hamilton (1769–1831), or his method of teaching languages without grammar, by a literal interlinear word-for-word translation.
  6. Of, relating to, or in the literary style of Edmond Hamilton (1904–1977), American science fiction writer.
  7. Relating to Sir William Hamilton, 9th Baronet (1788–1856), Scottish metaphysician.

Noun (1) capitalized: Hamiltonian

Hamiltonian (plural Hamiltonians)

  1. (Hamiltonian mechanics) A function (of time), denoted H, that corresponds to the total energy of the system.
    • We contrast this with the case of sampling from the output of a quantum computer running the Quantum Adiabatic Algorithm (QADI) with the restriction that the Hamiltonian that governs the evolution is gapped and stoquastic.2016, Edward Farhi, Aram W Harrow, “Quantum Supremacy through the Quantum Approximate Optimization Algorithm”, in arXiv
    • As stoquastic problems we use frustrated Ising Hamiltonians, having random local X and Z fields, and random σ_zσ_z couplings.2016, R. Barends et al., “Digitized adiabatic quantum computing with a superconducting circuit”, in Nature, 534, 222-226, 9 June 2016
  2. (quantum mechanics) The observable, denoted H, that corresponds to the total energy of the system.
  3. (US, historical) A member of the faction of the US government in the George Washington administration led by Alexander Hamilton.

Adjective (2) capitalized: Hamiltonian

Hamiltonian (comparative more Hamiltonian, superlative most Hamiltonian)

  1. Of or relating to any city named Hamilton.

Noun (2) capitalized: Hamiltonian

Hamiltonian (plural Hamiltonians)

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

Forms of hamiltonian

Noun
pluralHamiltonians
Adjective
comparativemore Hamiltonian
superlativemost Hamiltonian

Origin of hamiltonian

From Hamilton (a surname) + -ian.

From Hamilton (a place name) + -ian.

Words formed from hamiltonian

Phrases with hamiltonian

Words that rhyme with hamiltonian

48 more rhymesFewer rhymes

Questions about hamiltonian

What does hamiltonian mean?
Hamiltonian means of, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865).
What is hamiltonian the alternative letter-case form of?
Hamiltonian is the alternative letter-case form of Hamiltonian.
What part of speech is hamiltonian?
Hamiltonian can be an adjective or a noun.
How do you pronounce hamiltonian?
Hamiltonian is pronounced /ˌhæmɪlˈtəʊ.ni.ən/ (UK).

Words near hamiltonian in the dictionary

  1. Hamilton-Jacobi-Bellman equation
  2. Hamilton-Jacobi-Bellman equations
  3. Hamilton-Norwood scale
  4. Hamiltonban
  5. Hamiltonhill
  6. hamiltonian
  7. Hamiltonian constraint
  8. Hamiltonian cycle
  9. Hamiltonian cycles
  10. Hamiltonian graph
  11. Hamiltonian operator

Source and license

Adapted from Wiktionary: hamiltonian (page history and authors); Hamiltonian (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Cite this entry: “hamiltonian.” Word.ws, https://word.ws/hamiltonian. Based on Wiktionary, CC BY-SA 4.0.