Standard Lemma guide

Hamiltonian

adj · noun · 13 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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  • Received-Pronunciation: /ˌhæmɪlˈtəʊ.ni.ən/
  • General-American: /ˌhæmɪlˈtoʊ.ni.ən/
  • rhymes with -əʊniən
  • CMU ARPABET: HH AE1 M AH0 L T OW2 N Y AH0 N Digits mark lexical stress: 1 primary, 2 secondary, 0 unstressed.

1

adj

Meaning 1

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

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

adj

Meaning 2

That visits each vertex exactly once.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: graph-theory, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

3

adj

Meaning 3

Containing a Hamiltonian cycle.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: graph-theory, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

4

adj

Meaning 4

Advocated by American politician Alexander Hamilton (1755–1804).

Definition source: English Wiktionary via Wiktextract

Usage: US, historical, not-comparable

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

5

adj

Meaning 5

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

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

6

adj

Meaning 6

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

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

7

adj

Meaning 7

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

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

8

adj

Meaning 8

Of or relating to any city named Hamilton.

Definition source: English Wiktionary via Wiktextract

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

9

adj

Meaning 9

Alternative letter-case form of Hamiltonian.

Definition source: English Wiktionary via Wiktextract

Usage: alt-of

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

10

noun

Meaning 10

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

Definition source: English Wiktionary via Wiktextract

Qualifier: Hamiltonian mechanics

Topics: natural-sciences, physical-sciences, physics

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

11

noun

Meaning 11

The observable, denoted H, that corresponds to the total energy of the system.

Definition source: English Wiktionary via Wiktextract

Qualifier: quantum mechanics

Topics: natural-sciences, physical-sciences, physics

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

12

noun

Meaning 12

A member of the faction of the US government in the George Washington administration led by Alexander Hamilton.

Definition source: English Wiktionary via Wiktextract

Usage: US, historical

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

13

noun

Meaning 13

A native or inhabitant of any city named Hamilton.

Definition source: English Wiktionary via Wiktextract

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

Etymology tree English Hamilton Proto-Indo-European *-nós Proto-Italic *-nos Latin -nus Latin -ānus Latin -iānusbor. English -ian English Hamiltonian From Hamilton (a surname) + -ian.

Etymology tree English Hamilton Proto-Indo-European *-nós Proto-Italic *-nos Latin -nus Latin -ānus Latin -iānusbor. English -ian English Hamiltonian From Hamilton (a place name) + -ian.

Across languages

Translations

6 source translations are retained for this English entry.

  • Danish: Hamiltonoperator — (quantum mechanics)
  • German: Hamiltonoperator — (quantum mechanics)
  • Persian: هامیلتونی (hâmiltoni) — (quantum mechanics)
  • Portuguese: hamiltoniano — (quantum mechanics)
  • Russian: гамильтониа́н (gamilʹtonián) — (quantum mechanics)
  • Ukrainian: гамільтоніа́н (hamilʹtonián) — (quantum mechanics)
Real reading context

Hamiltonian in complete knowledge articles