Hamiltonian

//ˌhæmɪlˈtəʊ.ni.ən// adj, noun

adj, noun ·Uncommon ·Advanced level

Definitions

Noun
  1. 1
    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."

  2. 2
    A native or inhabitant of any city named Hamilton.
  3. 3
    The observable, denoted H, that corresponds to the total energy of the system.
  4. 4
    A member of the faction of the US government in the George Washington administration led by Alexander Hamilton. US, historical
Adjective
  1. 1
    Of, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865). not-comparable
  2. 2
    Of or relating to any city named Hamilton.
  3. 3
    Alternative letter-case form of Hamiltonian. alt-of
  4. 4
    That visits each vertex exactly once. not-comparable
  5. 5
    Containing a Hamiltonian cycle. not-comparable

    "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."

Show 4 more definitions
  1. 6
    Advocated by American politician Alexander Hamilton (1755–1804). US, historical, not-comparable
  2. 7
    Relating to James Hamilton (1769–1831), or his method of teaching languages without grammar, by a literal interlinear word-for-word translation. not-comparable
  3. 8
    Of, relating to, or in the literary style of Edmond Hamilton (1904–1977), American science fiction writer. not-comparable
  4. 9
    Relating to Sir William Hamilton, 9th Baronet (1788–1856), Scottish metaphysician. not-comparable

Synonyms

All synonyms
hamiltonian operator

Example

More examples

"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."

Etymology

Etymology 1

From Hamilton (a surname) + -ian.

Etymology 2

From Hamilton (a place name) + -ian.

Related phrases

Hamiltonian constraintHamiltonian cycleHamiltonian pathHamiltonian spitehamiltonian cycle

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.