Dictionary

Hamiltonian en · ADJ · etymology 1

Pronunciation

• /ˌhæmɪlˈtoʊ.ni.ən/ (General-American)
• /ˌhæmɪlˈtəʊ.ni.ən/ (Received-Pronunciation)

Etymology

Etymology tree English Hamilton Proto-Indo-European *-(i)yós Proto-Italic *-ijos Proto-Italic *-ios Old Latin -ios Latin -ius Proto-Indo-European *-nós Proto-Italic *-nos Proto-Italic *-ānos Latin -ānus Latin -iānusbor. English -ian English Hamiltonian From Hamilton (a surname) + -ian.

Meanings

1. (not-comparable) Of, attributed to or inspired by the Irish mathematician, astronomer and physicist William Rowan Hamilton (1805–1865).
2. (not-comparable, of a cycle/path) That visits each vertex exactly once.
3. (not-comparable, of a graph) 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, not-comparable, of certain fiscal policies) Advocated by American politician Alexander Hamilton (1755–1804).
5. (not-comparable) Relating to James Hamilton (1769–1831), or his method of teaching languages without grammar, by a literal interlinear word-for-word translation.
6. (not-comparable) Of, relating to, or in the literary style of Edmond Hamilton (1904–1977), American science fiction writer.
7. (not-comparable) Relating to Sir William Hamilton, 9th Baronet (1788–1856), Scottish metaphysician.

Deriveds

Hamiltonian cycle · Hamiltonian constraint · hypohamiltonian · Hamiltonian spite · pseudohamiltonian · Hamiltonianness · Hamiltonian path

Hamiltonian en · NOUN · etymology 1

Pronunciation

• /ˌhæmɪlˈtoʊ.ni.ən/ (General-American)
• /ˌhæmɪlˈtəʊ.ni.ən/ (Received-Pronunciation)

Etymology

Etymology tree English Hamilton Proto-Indo-European *-(i)yós Proto-Italic *-ijos Proto-Italic *-ios Old Latin -ios Latin -ius Proto-Indo-European *-nós Proto-Italic *-nos Proto-Italic *-ānos Latin -ānus Latin -iānusbor. English -ian English Hamiltonian From Hamilton (a surname) + -ian.

Meanings

1. (qualifier:Hamiltonian mechanics) A function (of time), denoted H, that corresponds to the total energy of the system.
   • 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:
   • 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:
2. (qualifier: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.

Forms

Deriveds

H · Kamiltonian

Translations (9)

pl operator Hamiltona ((quantum mechanics)) · de Hamiltonoperator ((quantum mechanics)) · da Hamiltonoperator ((quantum mechanics)) · pt hamiltoniano ((quantum mechanics)) · pl hamiltonian ((quantum mechanics)) · fa هامیلتونی ((quantum mechanics)) · ru гамильтониа́н ((quantum mechanics)) · pl operator energii ((quantum mechanics)) · uk гамільтоніа́н ((quantum mechanics))

Hamiltonian en · ADJ · etymology 2

Pronunciation

• /ˌhæmɪlˈtoʊ.ni.ən/ (General-American)
• /ˌhæmɪlˈtəʊ.ni.ən/ (Received-Pronunciation)

Etymology

Etymology tree English Hamilton Proto-Indo-European *-(i)yós Proto-Italic *-ijos Proto-Italic *-ios Old Latin -ios Latin -ius Proto-Indo-European *-nós Proto-Italic *-nos Proto-Italic *-ānos Latin -ānus Latin -iānusbor. English -ian English Hamiltonian From Hamilton (a place name) + -ian.

Meanings

1. Of or relating to any city named Hamilton.

Forms

Hamiltonian en · NOUN · etymology 2

Pronunciation

• /ˌhæmɪlˈtoʊ.ni.ən/ (General-American)
• /ˌhæmɪlˈtəʊ.ni.ən/ (Received-Pronunciation)

Etymology

Etymology tree English Hamilton Proto-Indo-European *-(i)yós Proto-Italic *-ijos Proto-Italic *-ios Old Latin -ios Latin -ius Proto-Indo-European *-nós Proto-Italic *-nos Proto-Italic *-ānos Latin -ānus Latin -iānusbor. English -ian English Hamiltonian From Hamilton (a place name) + -ian.

Meanings

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

Forms