What does "hamiltonian" mean?
A function (of time), denoted H, that corresponds to the total energy of the system.
Hamiltonian
/ˌhæmɪlˈtəʊ.ni.ən/ adj, noun
adj, noun ·Moderate ·College level
Meaning at a glance
- Primary sense: A function (of time), denoted H, that corresponds to the total energy of the system.
- Grammar: hamiltonian is listed as adj, noun.
- Nearest alternatives: energy function, energy operator, graph theory related, hamiltonian based.
- Useful contrasts: jeffersonian, lagrangian, non Hamiltonian.
- Usage evidence: 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.
How to use "hamiltonian"
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Meaning check
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Source and review context
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Before you rely on this definition
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Definition decision workflow
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Definitions
Noun
- 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 A native or inhabitant of any city named Hamilton.
- 3 The observable, denoted H, that corresponds to the total energy of the system.
- 4 A member of the faction of the US government in the George Washington administration led by Alexander Hamilton. US, historical
Adjective
- 1 Of, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865). not-comparable
- 2 Of or relating to any city named Hamilton.
- 3 Alternative letter-case form of Hamiltonian. alt-of
- 4 That visits each vertex exactly once. not-comparable
- 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
- 6 Advocated by American politician Alexander Hamilton (1755–1804). US, historical, not-comparable
- 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
- 8 Of, relating to, or in the literary style of Edmond Hamilton (1904–1977), American science fiction writer. not-comparable
- 9 Relating to Sir William Hamilton, 9th Baronet (1788–1856), Scottish metaphysician. not-comparable
Synonyms
All synonyms energy functionenergy operatorgraph theory relatedhamiltonian basedhamiltonian cyclehamiltonian graph related
Antonyms
Example
"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."
Common questions
What is a synonym for "hamiltonian"?
Common synonyms include: energy function, energy operator, graph theory related, hamiltonian based, hamiltonian cycle, hamiltonian graph related.
How do you use "hamiltonian" in a sentence?
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.
How do you pronounce "hamiltonian"?
Pronounced /ˌhæmɪlˈtəʊ.ni.ən/.
Etymology
Etymology 1
From Hamilton (a surname) + -ian.
Etymology 2
From Hamilton (a place name) + -ian.